  # Math 126

by Angel
(VA)

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

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

 Feb 09, 2012 Math 126 - Probability by: Staff -------------------------------------------------- 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 --------------------------------------------------

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