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Math 126

by Angel
(VA)










































please help im having trouble with these questions :(

two dice are rolled. Find the probability of getting a sum greater than 8. (Points : 1)
0
13/36
2/9
5/18

2. Three coins are tossed. Find the probability that no more than one coin lands heads up. (Points : 1)
5/8
1/4
3/8
1/2



3. Find the missing numbers.
(Points : 1)
Markup Rate = 21%, Markup Amount = $102.00
Markup Rate = 19%, Markup Amount = $92.00
Markup Rate = 21%, Markup Amount = $92.00
Markup Rate = 10%, Markup Amount = $44.00

4. A tie pin which sells for $200.00 has a markup rate of 30% on the selling price. Find the amount of the markup and the cost. (Points : 1)
Markup Amount = $50.00, Cost = $150.00
Markup Amount = $60.00, Cost = $150.00
Markup Amount = $60.00, Cost = $140.00
Markup Amount = $70.00, Cost = $130.00

5. Dr. Collins borrowed some money to buy new furniture for her office. She paid $720.00 simple interest on a 7.5-year loan at 16%. Find the principal. (Points : 1)
$750
$500
$600
$700

6. A coat was reduced from $250 to $200. Find the percent of the reduction in price. (Points : 1)
1.25%
0.8%
20%
25%

7. A company borrowed $1500. It must make monthly payments of $40.50 for 42 months to pay off the loan. Use the constant ratio formula to find the annual percentage rate. (Points : 1)
7.94%
8.83%
7.60%
7.48%

8. Find the compound interest.
(Points : 1)
$691.20
$2,264.52
$640.00
$2,691.20

9. A pair of cuff links which sells for $100.00 has a markup rate of 10% on the selling price. Find the amount of the markup and the cost. (Points : 1)
Markup Amount = $10.00, Cost = $90.00
Markup Amount = $20.00, Cost = $80.00
Markup Amount = $0.00, Cost = $100.00
Markup Amount = $10.00, Cost = $100.00

10. If two people are selected at random, what is the probability that they were both born in winter (December, January, or February)? (Points : 1)
1/4
1/16
1/144
9/6

11. How many different three letter permutations can be formed from the letters in the word clipboard? (Points : 1)
336
544,320
504
729

12. A single card is drawn from an ordinary 52-card deck. Find the probability of getting a heart and a jack. (Points : 1)
1/13
1/26
4/13
1/52

13. A coin is tossed and then a die is rolled. Find the probability of getting a 5 on the die given that the coin landed tails up. (Points : 1)
1/3
1/6
1/36
1/12

14. A pair of shoes with an original price of $300.00 is on sale for $210.00. Find the percent of the markdown. (Points : 1)
28%
30%
70%
35%

15. Find the missing numbers.
(Points : 1)
Cost = $87.50, Markup Amount = $87.50
Cost = $337.50, Markup Amount = $137.50
Cost = $337.50, Markup Amount = $142.50
Cost = $327.50, Markup Amount = $147.50

16. How many ways can a person select four books, two CDs, and one DVD from ten books, twenty CDs, and five DVDs? (Points : 1)
8,000
405
6,724,520
199,500

17. Find the future value of an annuity if you invest $1,550 annually for 5 years at 11.5% compounded annually. (Points : 1)
$9,800.05
$9,729.30
$9,849.67
$9,749.55

18. In a classroom, the students are 11 boys and 1 girl. If one student is selected at random, find the probability that the student is a girl. (Points : 1)
1/12
6/11
1/11
5/6

19. In a classroom, the students are 12 boys and 6 girls. If one student is selected at random, find the probability that the student is a girl. (Points : 1)
2/3
1/6
1/3
1/2

20. The odds against an event are 9:8. Find the probability that the event will occur. (Points : 1)
8/9
8/17
9/17
9/8

Comments for Math 126

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Feb 09, 2012
Math 126 - Probability
by: Staff


--------------------------------------------------
Part VIII

18. In a classroom, the students are 11 boys and 1 girl. If one student is selected at random, find the probability that the student is a girl. (Points : 1)
1/12
6/11
1/11
5/6


P = 1/12



19. In a classroom, the students are 12 boys and 6 girls. If one student is selected at random, find the probability that the student is a girl. (Points : 1)
2/3
1/6
1/3
1/2

P = 6/18

P = 1/3



20. The odds against an event are 9:8. Find the probability that the event will occur. (Points : 1)
8/9
8/17
9/17
9/8


The odds against an event are 9:8. Find the probability that the event WILL occur.

Failures = 9, Successes = 8


Odds in Favor = (Prob of Success) / (Prob of Failure)

Odds of Failure = (Prob of Failure) / (Prob of Success)


Prob of Success = Successes/(successes + failures)


Prob of Success = 8/(8 + 9)

Prob of Success = 8/17





Thanks for writing.

Staff
www.solving-math-problems.com


Feb 09, 2012
Math 126 - Probability
by: Staff


--------------------------------------------------
Part VII


13. A coin is tossed and then a die is rolled. Find the probability of getting a 5 on the die given that the coin landed tails up. (Points : 1)
1/3
1/6
1/36
1/12

P = (½)*(1/6)

P = 1/12




14. A pair of shoes with an original price of $300.00 is on sale for $210.00. Find the percent of the markdown. (Points : 1)
28%
30%
70%
35%

% markdown = [(300 - 210)/300]*100

% markdown = 30%



15. Find the missing numbers.
(Points : 1)

Cost = $87.50, Markup Amount = $87.50
Cost = $337.50, Markup Amount = $137.50
Cost = $337.50, Markup Amount = $142.50
Cost = $327.50, Markup Amount = $147.50

The problem statement is missing information which is necessary to answer this question.


16. How many ways can a person select four books, two CDs, and one DVD from ten books, twenty CDs, and five DVDs? (Points : 1)
8,000
405
6,724,520
199,500


Books



Order is not important
Repetition is not allowed

Combinations possible = (n!)/[r!(n - r)!]

n = 10

r = 4

Combinations possible = 10!/[4!(10 - 4)!]

Combinations possible = 10!/[4!(6)!]

Combinations possible = (10*9*8*7)/(4*3*2*1)

Combinations possible = 210



CDs

Order is not important
Repetition is not allowed

Combinations possible = (n!)/[r!(n - r)!]

n = 20

r = 2

Combinations possible = 20!/[2!(20 - 2)!]

Combinations possible = 20!/[2!(18)!]

Combinations possible = (20*19)/(2*1)

Combinations possible = 190



DVD’s

Order is not important
Repetition is not allowed

Combinations possible = (n!)/[r!(n - r)!]

n = 5

r = 1

Combinations possible = 5!/[1!(5 - 1)!]

Combinations possible = 5!/[1!(4)!]

Combinations possible = 5



Total combinations possible = 210 * 190 * 5

Total combinations possible = 199,500



17. Find the future value of an annuity if you invest $1,550 annually for 5 years at 11.5% compounded annually. (Points : 1)
$9,800.05
$9,729.30
$9,849.67
$9,749.55

FV = P[(1+i)^n - 1] / i

i = 11.5% = 0.115
n = 5
P = periodic payments into annuity

Since you are putting money into the annuity (rather than taking it out):


FV = P[(1+i)^n - 1] / i

FV = 1550*(1 + 0.115)^5 - 1) / 0.115

FV = 1550*(1.115)^5 - 1) / 0.115

FV = 1550*(1.7233533667 - 1) / 0.115

FV = 1550*(0.7233533667) / 0.115

FV = 1121.19771838 / 0.115

FV = $9749.55


--------------------------------------------------

Feb 09, 2012
Math 126 - Probability
by: Staff


--------------------------------------------------

Part VI

{b,c,r} {b,c,d} {b,l,c} {b,l,i} {b,l,p} {b,l,o} {b,l,a} {b,l,r} {b,l,d} {b,i,c} {b,i,l} {b,i,p} {b,i,o} {b,i,a} {b,i,r} {b,i,d} {b,p,c} {b,p,l} {b,p,i} {b,p,o} {b,p,a} {b,p,r} {b,p,d} {b,o,c} {b,o,l} {b,o,i} {b,o,p} {b,o,a} {b,o,r} {b,o,d} {b,a,c} {b,a,l} {b,a,i} {b,a,p} {b,a,o} {b,a,r} {b,a,d} {b,r,c} {b,r,l} {b,r,i} {b,r,p} {b,r,o} {b,r,a} {b,r,d} {b,d,c} {b,d,l} {b,d,i} {b,d,p} {b,d,o} {b,d,a} {b,d,r} {o,c,l} {o,c,i} {o,c,p} {o,c,b} {o,c,a} {o,c,r} {o,c,d} {o,l,c} {o,l,i} {o,l,p} {o,l,b} {o,l,a} {o,l,r} {o,l,d} {o,i,c} {o,i,l} {o,i,p} {o,i,b} {o,i,a} {o,i,r} {o,i,d} {o,p,c} {o,p,l} {o,p,i} {o,p,b} {o,p,a} {o,p,r} {o,p,d} {o,b,c} {o,b,l} {o,b,i} {o,b,p} {o,b,a} {o,b,r} {o,b,d} {o,a,c} {o,a,l} {o,a,i} {o,a,p} {o,a,b} {o,a,r} {o,a,d} {o,r,c} {o,r,l} {o,r,i} {o,r,p} {o,r,b} {o,r,a} {o,r,d} {o,d,c} {o,d,l} {o,d,i} {o,d,p} {o,d,b} {o,d,a} {o,d,r} {a,c,l} {a,c,i} {a,c,p} {a,c,b} {a,c,o} {a,c,r} {a,c,d} {a,l,c} {a,l,i} {a,l,p} {a,l,b} {a,l,o} {a,l,r} {a,l,d} {a,i,c} {a,i,l} {a,i,p} {a,i,b} {a,i,o} {a,i,r} {a,i,d} {a,p,c} {a,p,l} {a,p,i} {a,p,b} {a,p,o} {a,p,r} {a,p,d} {a,b,c} {a,b,l} {a,b,i} {a,b,p} {a,b,o} {a,b,r} {a,b,d} {a,o,c} {a,o,l} {a,o,i} {a,o,p} {a,o,b} {a,o,r} {a,o,d} {a,r,c} {a,r,l} {a,r,i} {a,r,p} {a,r,b} {a,r,o} {a,r,d} {a,d,c} {a,d,l} {a,d,i} {a,d,p} {a,d,b} {a,d,o} {a,d,r} {r,c,l} {r,c,i} {r,c,p} {r,c,b} {r,c,o} {r,c,a} {r,c,d} {r,l,c} {r,l,i} {r,l,p} {r,l,b} {r,l,o} {r,l,a} {r,l,d} {r,i,c} {r,i,l} {r,i,p} {r,i,b} {r,i,o} {r,i,a} {r,i,d} {r,p,c} {r,p,l} {r,p,i} {r,p,b} {r,p,o} {r,p,a} {r,p,d} {r,b,c} {r,b,l} {r,b,i} {r,b,p} {r,b,o} {r,b,a} {r,b,d} {r,o,c} {r,o,l} {r,o,i} {r,o,p} {r,o,b} {r,o,a} {r,o,d} {r,a,c} {r,a,l} {r,a,i} {r,a,p} {r,a,b} {r,a,o} {r,a,d} {r,d,c} {r,d,l} {r,d,i} {r,d,p} {r,d,b} {r,d,o} {r,d,a} {d,c,l} {d,c,i} {d,c,p} {d,c,b} {d,c,o} {d,c,a} {d,c,r} {d,l,c} {d,l,i} {d,l,p} {d,l,b} {d,l,o} {d,l,a} {d,l,r} {d,i,c} {d,i,l} {d,i,p} {d,i,b} {d,i,o} {d,i,a} {d,i,r} {d,p,c} {d,p,l} {d,p,i} {d,p,b} {d,p,o} {d,p,a} {d,p,r} {d,b,c} {d,b,l} {d,b,i} {d,b,p} {d,b,o} {d,b,a} {d,b,r} {d,o,c} {d,o,l} {d,o,i} {d,o,p} {d,o,b} {d,o,a} {d,o,r} {d,a,c} {d,a,l} {d,a,i} {d,a,p} {d,a,b} {d,a,o} {d,a,r} {d,r,c} {d,r,l} {d,r,i} {d,r,p} {d,r,b} {d,r,o} {d,r,a}



12. A single card is drawn from an ordinary 52-card deck. Find the probability of getting a heart and a jack. (Points : 1)
1/13
1/26
4/13
1/52

-----

there is only 1 jack of hearts in an ordinary 52-card deck.

P = 1/52


--------------------------------------------------

Feb 09, 2012
Math 126 - Probability
by: Staff


--------------------------------------------------
Part V


11. How many different three letter permutations can be formed from the letters in the word clipboard? (Points : 1)
336
544,320
504
729

IMPORTANT.



Order is important
Repetition is allowed

permutations possible = (n)!/[(n - r)!]

n = 9
r = 3

permutations possible = (9)!/[(9 - 3)!]


permutations possible = (9)!/[6!]

permutations possible = (9*8*7)

permutations possible = 504



{c,l,i} {c,l,p} {c,l,b} {c,l,o} {c,l,a} {c,l,r} {c,l,d} {c,i,l} {c,i,p} {c,i,b} {c,i,o} {c,i,a} {c,i,r} {c,i,d} {c,p,l} {c,p,i} {c,p,b} {c,p,o} {c,p,a} {c,p,r} {c,p,d} {c,b,l} {c,b,i} {c,b,p} {c,b,o} {c,b,a} {c,b,r} {c,b,d} {c,o,l} {c,o,i} {c,o,p} {c,o,b} {c,o,a} {c,o,r} {c,o,d} {c,a,l} {c,a,i} {c,a,p} {c,a,b} {c,a,o} {c,a,r} {c,a,d} {c,r,l} {c,r,i} {c,r,p} {c,r,b} {c,r,o} {c,r,a} {c,r,d} {c,d,l} {c,d,i} {c,d,p} {c,d,b} {c,d,o} {c,d,a} {c,d,r} {l,c,i} {l,c,p} {l,c,b} {l,c,o} {l,c,a} {l,c,r} {l,c,d} {l,i,c} {l,i,p} {l,i,b} {l,i,o} {l,i,a} {l,i,r} {l,i,d} {l,p,c} {l,p,i} {l,p,b} {l,p,o} {l,p,a} {l,p,r} {l,p,d} {l,b,c} {l,b,i} {l,b,p} {l,b,o} {l,b,a} {l,b,r} {l,b,d} {l,o,c} {l,o,i} {l,o,p} {l,o,b} {l,o,a} {l,o,r} {l,o,d} {l,a,c} {l,a,i} {l,a,p} {l,a,b} {l,a,o} {l,a,r} {l,a,d} {l,r,c} {l,r,i} {l,r,p} {l,r,b} {l,r,o} {l,r,a} {l,r,d} {l,d,c} {l,d,i} {l,d,p} {l,d,b} {l,d,o} {l,d,a} {l,d,r} {i,c,l} {i,c,p} {i,c,b} {i,c,o} {i,c,a} {i,c,r} {i,c,d} {i,l,c} {i,l,p} {i,l,b} {i,l,o} {i,l,a} {i,l,r} {i,l,d} {i,p,c} {i,p,l} {i,p,b} {i,p,o} {i,p,a} {i,p,r} {i,p,d} {i,b,c} {i,b,l} {i,b,p} {i,b,o} {i,b,a} {i,b,r} {i,b,d} {i,o,c} {i,o,l} {i,o,p} {i,o,b} {i,o,a} {i,o,r} {i,o,d} {i,a,c} {i,a,l} {i,a,p} {i,a,b} {i,a,o} {i,a,r} {i,a,d} {i,r,c} {i,r,l} {i,r,p} {i,r,b} {i,r,o} {i,r,a} {i,r,d} {i,d,c} {i,d,l} {i,d,p} {i,d,b} {i,d,o} {i,d,a} {i,d,r} {p,c,l} {p,c,i} {p,c,b} {p,c,o} {p,c,a} {p,c,r} {p,c,d} {p,l,c} {p,l,i} {p,l,b} {p,l,o} {p,l,a} {p,l,r} {p,l,d} {p,i,c} {p,i,l} {p,i,b} {p,i,o} {p,i,a} {p,i,r} {p,i,d} {p,b,c} {p,b,l} {p,b,i} {p,b,o} {p,b,a} {p,b,r} {p,b,d} {p,o,c} {p,o,l} {p,o,i} {p,o,b} {p,o,a} {p,o,r} {p,o,d} {p,a,c} {p,a,l} {p,a,i} {p,a,b} {p,a,o} {p,a,r} {p,a,d} {p,r,c} {p,r,l} {p,r,i} {p,r,b} {p,r,o} {p,r,a} {p,r,d} {p,d,c} {p,d,l} {p,d,i} {p,d,b} {p,d,o} {p,d,a} {p,d,r} {b,c,l} {b,c,i} {b,c,p} {b,c,o} {b,c,a}


--------------------------------------------------

Feb 09, 2012
Math 126 - Probability
by: Staff


--------------------------------------------------
Part IV




5. Dr. Collins borrowed some money to buy new furniture for her office. She paid $720.00 simple interest on a 7.5-year loan at 16%. Find the principal. (Points : 1)
$750
$500
$600
$700


Simple interest does not take compounding into consideration

Simple interest = (Principle)*(interest rate)*(time)

Simple interest = $720

Interest Rate = 16%, or 0.16 when expressed as a decimal

Time = 7.5 years

720 = (Principle)*(0.16)*(7.5)

(Principle)*(0.16)*(7.5) = 720

Principle = 720/(0.16*7.5)

Principle = $600


6. A coat was reduced from $250 to $200. Find the percent of the reduction in price. (Points : 1)
1.25%
0.8%
20%
25%

% Reduction = [(250 - 200)/250] * 100

% Reduction = 20%



------------------------------------------------------------------------------------------------



7. A company borrowed $1500. It must make monthly payments of $40.50 for 42 months to pay off the loan. Use the constant ratio formula to find the annual percentage rate. (Points : 1)
7.94%
8.83%
7.60%
7.48%

The constant-ratio formula (used to approximate the APR) is:

APR = (2* M * C) /(P(N + 1))

APR = annual percentage rate
M = number of payments per year
N = number of scheduled payments
C = total interest charges
P = loan amount

M = 12 payments per year
N = 42 months of payments
C = 40.50 * 42 - 1500 = $201
P = $1500

APR = (2* 12 * 201) /(1500(42 + 1))

APR = 0.0747907

APR = 7.48%


8. Find the compound interest.
(Points : 1)
$691.20
$2,264.52
$640.00
$2,691.20

There is not enough information in the problem statement to answer this question.



9. A pair of cuff links which sells for $100.00 has a markup rate of 10% on the selling price. Find the amount of the markup and the cost. (Points : 1)



Markup Amount = $10.00, Cost = $90.00
Markup Amount = $20.00, Cost = $80.00
Markup Amount = $0.00, Cost = $100.00
Markup Amount = $10.00, Cost = $100.00



x = 100.00 - .1*100
x = 100 - 10
x = 90
x = $90, cost before markup
y = 100 - 90
y = $10.00, amount of markup





------------------------------------------------------------------------------------------------


10. If two people are selected at random, what is the probability that they were both born in winter (December, January, or February)? (Points : 1)

1/4
1/16
1/144
9/6

P = (¼)*(1/4) = 1/16


--------------------------------------------------

Feb 09, 2012
Math 126 - Probability
by: Staff


--------------------------------------------------
Part III



NONE of the choices given in the problem statement is correct IF ORDER IS NOT IMPORTANT.

If order is not important, results of 5 and 4 are exactly the same as the result of 4 and 5.


Order is not important
Repetition is allowed

Combinations possible = (n + r - 1)!/[r!(n - 1)!]

n = 6 (there are six possible numbers which can be rolled on a dice)

r = 2 (two numbers will be used)

Combinations possible = (6 + 2 - 1)!/[2!(6 - 1)!]

Combinations possible = (7)!/[2!(4)!]

Combinations possible = (7*6*5*4*3*2*1)/(2*1*5*4*3*2*1)

Combinations possible = (5040)/( 240)

Combinations possible = 21

These combinations are: [Combinations which allow repetition (n=6, r=2)]



{1,1} {1,2} {1,3} {1,4} {1,5} {1,6}
{2,2} {2,3} {2,4} {2,5} {2,6}
{3,3} {3,4} {3,5} {3,6}
{4,4} {4,5} {4,6}
{5,5} {5,6}
{6,6}


Which of these combinations add up to 9 or more (the sum is greater than 8)?

{1,1} {1,2} {1,3} {1,4} {1,5} {1,6} - NONE
{2,2} {2,3} {2,4} {2,5} {2,6} – NONE
{3,3} {3,4} {3,5} {3,6} - ONE
{4,4} {4,5} {4,6} – TWO
{5,5} {5,6} - TWO
{6,6} - ONE


The number of combinations which add up to 9 or more:

= 1 + 2 + 2 + 1

= 6


Since there are 21 possible combinations, and only 6 combinations add up to 9 or more:

P = 6/21

P = 2/7


------------------------------------------------------------------------------------------------



2. Three coins are tossed. Find the probability that no more than one coin lands heads up. (Points : 1)

5/8
1/4
3/8
1/2

For this particular problem, IF ORDER IS NOT IMPORTANT, the ANSWER is 1/4 (the second choice)

If ORDER IS NOT IMPORTANT, there are only four possibilities

Order is not important
Repetition is allowed

Combinations possible = (n + r - 1)!/[r!(n - 1)!]

n = 2

r = 3 (two numbers will be used)

Combinations possible = (2 + 3 - 1)!/[3!(2 - 1)!]

Combinations possible = (4)!/[3!(1)!]

Combinations possible = (4*3*2*1)/(3*2*1*1)

Combinations possible = (24)/( 6)

Combinations possible = 4


Combinations with repetition (n=2, r=3)

{H,H,H}
{H,H,T}
{H,T,T} – the only possibility that works
{T,T,T}


P = 1/4



3. Find the missing numbers.
(Points : 1)


Markup Rate = 21%, Markup Amount = $102.00
Markup Rate = 19%, Markup Amount = $92.00
Markup Rate = 21%, Markup Amount = $92.00
Markup Rate = 10%, Markup Amount = $44.00

The problem statement is missing information.


4. A tie pin which sells for $200.00 has a markup rate of 30% on the selling price. Find the amount of the markup and the cost. (Points : 1)


x = 200.00 - .3*200
x = 200 - 60
x = 140
x = $140, cost before markup
y = 200 - 140
y = $60.00, amount of markup


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Feb 09, 2012
Math 126 - Probability
by: Staff


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Part II


14. A pair of shoes with an original price of $300.00 is on sale for $210.00. Find the percent of the markdown. (Points : 1)
28%
30%
70%
35%

15. Find the missing numbers.
(Points : 1)
Cost = $87.50, Markup Amount = $87.50
Cost = $337.50, Markup Amount = $137.50
Cost = $337.50, Markup Amount = $142.50
Cost = $327.50, Markup Amount = $147.50

16. How many ways can a person select four books, two CDs, and one DVD from ten books, twenty CDs, and five DVDs? (Points : 1)
8,000
405
6,724,520
199,500

17. Find the future value of an annuity if you invest $1,550 annually for 5 years at 11.5% compounded annually. (Points : 1)
$9,800.05
$9,729.30
$9,849.67
$9,749.55

18. In a classroom, the students are 11 boys and 1 girl. If one student is selected at random, find the probability that the student is a girl. (Points : 1)
1/12
6/11
1/11
5/6

19. In a classroom, the students are 12 boys and 6 girls. If one student is selected at random, find the probability that the student is a girl. (Points : 1)
2/3
1/6
1/3
1/2

20. The odds against an event are 9:8. Find the probability that the event will occur. (Points : 1)
8/9
8/17
9/17
9/8

Answer:
1. two dice are rolled. Find the probability of getting a sum greater than 8. (Points : 1)

0
13/36
2/9
5/18


The problem does not state whether order is important.


If order is important, a result of 5 and 4 is a completely different result from 4 and 5.

For this particular problem, IF ORDER IS IMPORTANT, the ANSWER is 5/18 (the last choice)


If order is important, there are 36 possibilities :

Order is important
Repetition is allowed

Combinations possible = n²

n = 6 (there are six possible numbers which can be rolled on a dice)

r = 2 (two numbers will be used)

Combinations possible = 6²

Combinations possible = 36


{1,1} {1,2} {1,3} {1,4} {1,5} {1,6} NONE
{2,1} {2,2} {2,3} {2,4} {2,5} {2,6} NONE
{3,1} {3,2} {3,3} {3,4} {3,5} {3,6} One
{4,1} {4,2} {4,3} {4,4} {4,5} {4,6} Two
{5,1} {5,2} {5,3} {5,4} {5,5} {5,6} Three
{6,1} {6,2} {6,3} {6,4} {6,5} {6,6} Four

P = 10/36

P = 5/18

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Feb 09, 2012
Math 126 - Probability
by: Staff


Part I


Question:

by Angel
(VA)


please help im having trouble with these questions :(

two dice are rolled. Find the probability of getting a sum greater than 8. (Points : 1)
0
13/36
2/9
5/18









2. Three coins are tossed. Find the probability that no more than one coin lands heads up. (Points : 1)
5/8
1/4
3/8
1/2



3. Find the missing numbers.
(Points : 1)
Markup Rate = 21%, Markup Amount = $102.00
Markup Rate = 19%, Markup Amount = $92.00
Markup Rate = 21%, Markup Amount = $92.00
Markup Rate = 10%, Markup Amount = $44.00

4. A tie pin which sells for $200.00 has a markup rate of 30% on the selling price. Find the amount of the markup and the cost. (Points : 1)
Markup Amount = $50.00, Cost = $150.00
Markup Amount = $60.00, Cost = $150.00
Markup Amount = $60.00, Cost = $140.00
Markup Amount = $70.00, Cost = $130.00

5. Dr. Collins borrowed some money to buy new furniture for her office. She paid $720.00 simple interest on a 7.5-year loan at 16%. Find the principal. (Points : 1)
$750
$500
$600
$700

6. A coat was reduced from $250 to $200. Find the percent of the reduction in price. (Points : 1)
1.25%
0.8%
20%
25%

7. A company borrowed $1500. It must make monthly payments of $40.50 for 42 months to pay off the loan. Use the constant ratio formula to find the annual percentage rate. (Points : 1)
7.94%
8.83%
7.60%
7.48%

8. Find the compound interest.
(Points : 1)
$691.20
$2,264.52
$640.00
$2,691.20

9. A pair of cuff links which sells for $100.00 has a markup rate of 10% on the selling price. Find the amount of the markup and the cost. (Points : 1)
Markup Amount = $10.00, Cost = $90.00
Markup Amount = $20.00, Cost = $80.00
Markup Amount = $0.00, Cost = $100.00
Markup Amount = $10.00, Cost = $100.00

10. If two people are selected at random, what is the probability that they were both born in winter (December, January, or February)? (Points : 1)

1/4
1/16
1/144
9/6

11. How many different three letter permutations can be formed from the letters in the word clipboard? (Points : 1)
336
544,320
504
729

12. A single card is drawn from an ordinary 52-card deck. Find the probability of getting a heart and a jack. (Points : 1)
1/13
1/26
4/13
1/52

13. A coin is tossed and then a die is rolled. Find the probability of getting a 5 on the die given that the coin landed tails up. (Points : 1)
1/3
1/6
1/36
1/12

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