Question

At a hot air balloon festival, Shane made note of how many passengers were in each balloon and the color of each balloon. 1 passenger 2 passengers Blue 10 6 Yellow 9 6 What is the probability that a randomly selected hot air balloon is yellow or contains 1 passenger? Simplify any fractions.

Answer 1

Answer:1 in 31 or 1/31

Step-by-step explanation: .

Answer 2

The searche probability is

`P(\text{yellow}\cup1passenger)`

which is equal to

`P(\text{yellow}\cup1passenger)=P(\text{yellow})+P(1passenger)-P(\text{yellow}\cap1passenger)`

From our table, P(yellow)=9+6=15, P(ipassenger)=10+9=19 and P(yellow n 1passenger)=9, then

we have

`P(\text{yellow}\cup1passenger)=(15)/(31)+(19)/(31)-(9)/(31)`

where 31 is the sum of all values (grand total). Then, the answer is

`P(\text{yellow }\cup1passenger)=(25)/(31)`