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MATH / PROBABILITY











































THERE ARE 10 BULLDOGS, 23 COLLIES, 20 TERRIES, 31 HUSKIES, AND 34 OTHER TYPES OF DOGS..

ESTIMATE THE PROBABILITY THAT THE NEXT DOG APPLICATION WILL BE A BULLDOG?

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May 15, 2011
MATH - PROBABILITY
by: Staff


The question:

THERE ARE 10 BULLDOGS, 23 COLLIES, 20 TERRIES, 31 HUSKIES, AND 34 OTHER TYPES OF DOGS..

ESTIMATE THE PROBABILITY THAT THE NEXT DOG APPLICATION WILL BE A BULLDOG?


The answer:


P(E) = (number of times an specific event is observed) ÷ (total number of events observed)

Number of times an specific event is observed = number of Bulldogs = 10

Total number of events observed = the total of number of dogs = 10+23+20+31+34 = 118

P(E) = (10) ÷ (118)

P(E) = (5) ÷ (59)
P(E) = 5/59

To convert this number to a percent, multiply by 100

P(E) = (5/59)*100

P(E) = (500/59)

P(E) = 500/59

P(E) = 8.47%


The final answer: the probability that the next dog application will be a bulldog is 5/59 (this is a probability of 8.47%)



Thanks for writing.

Staff
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