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

at a hot air balloon festival, sadie made note of how many passengers were in each balloon and whether the balloon was a single color or multicolored. single color multicolored 1 passenger 12 4 2 passengers 5 5 3 passengers 3 12 what is the probability that a randomly selected hot air balloon contains 3 passengers or 2 passengers? simplify any fractions.

at a hot air balloon festival, sadie made note of how many passengers were in each balloon and whether the balloon was a single color or multicolored. single color multicolored 1 passenger 12 4 2 passengers 5 5 3 passengers 3 12 what is the probability that a randomly selected hot air balloon contains 3 passengers or 2 passengers? simplify any fractions.

Answer

Explanation:

Step1: Calculate total number of balloons

Add all the values in the table: $(12 + 4)+(5 + 5)+(3+12)=41$.

Step2: Calculate number of balloons with 3 or 2 passengers

Add the number of balloons with 3 passengers and 2 passengers: $(5 + 5)+(3 + 12)=25$.

Step3: Calculate the probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{25}{41}$.

Answer:

$\frac{25}{41}$