Ben is greeting customers at a music store. Of the first 20 people he sees enter the store, 17 are wearing
jackets and 3 are not. What is the experimental probability that the next person to enter the store will be
wearing a jacket? Enter your answer as a simplified fraction.
The experimental probability that the next person to enter the store will be wearing a jacket is

0

Step-by-step explanation:

because 17 +3=20 do 10+7+1+1+1=20

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560