at a hot air balloon festival, jerry made note of how many passengers were in each balloon and whether the…

at a hot air balloon festival, jerry made note of how many passengers were in each balloon and whether the balloon was a single color or multicolored.\n| |single color|multicolored|\n|----|----|----|\n|1 passenger|9|9|\n|2 passengers|3|4|\n|3 passengers|3|9|\nwhat is the probability that a randomly selected hot air balloon contains 1 passenger given that the hot air balloon is multicolored?\nsimplify any fractions.

at a hot air balloon festival, jerry made note of how many passengers were in each balloon and whether the balloon was a single color or multicolored.\n| |single color|multicolored|\n|----|----|----|\n|1 passenger|9|9|\n|2 passengers|3|4|\n|3 passengers|3|9|\nwhat is the probability that a randomly selected hot air balloon contains 1 passenger given that the hot air balloon is multicolored?\nsimplify any fractions.

Answer

Answer:

$\frac{9}{22}$

Explanation:

Step1: Calculate total multicolored balloons

$9 + 4+9=22$

Step2: Determine number of multicolored 1 - passenger balloons

There are 9 multicolored balloons with 1 passenger.

Step3: Calculate conditional probability

The probability of a balloon having 1 passenger given it's multicolored is $\frac{\text{Number of multicolored 1 - passenger balloons}}{\text{Total number of multicolored balloons}}=\frac{9}{22}$