Question

At a hot air balloon festival, Braden made note of how many passengers were in each balloon and the color of each balloon. Blue Yellow 1 passenger 2 6 2 passengers 7 5 What is the probability that a randomly selected hot air balloon contains 2 passengers given that the hot air balloon is blue? Simplify any fractions.

Answer 1

First of all, ctake into account the total number of hot air ballon, by using the table:

Blue | Yellow | total

1 passenger 2 6 8

2 passengers 7 5 12

total 9 11 20

next, notice that the number of blue hot air ballons with 2 passengers is 7. The probability to select a blue hot air ballon with 2 passengers is given by the quotient in between 7 over the total of the sample 20:

p = 7/20

Hence, the probability is 7/20