Question

A bag contains 14 green, 12 orange and 19 purple tennis balls.

A: Create a probability model for choosing a tennis ball from the bag.
B: Suppose a tennis ball is randomly selected and then replaced 75 times. How many orange tennis balls do you expect? Explain.

Answer 1

See explanation

Explanation:

There are 14 green, 12 orange and 19 purple tennis balls in the bag,

`14+12+19=45` balls in total.

A. The propbabilities that

a randomly chosen ball from the bag is green
`=(14)/(45);`

a randomly chosen ball from the bag is orange
`=(12)/(45)=(4)/(15);`

a randomly chosen ball from the bag is purple
`=(19)/(45).`

A probability model for choosing a tennis ball from the bag is

`\begin{array}{lccc}\text{Ball}&\text{Green}&\text{Orange}&\text{Purple}\\ \\\text{Probability}&(14)/(45)&(4)/(15)&(19)/(45)\end{array}`

B. Suppose a tennis ball is randomly selected and then replaced 75 times. You can expect that orange ball appear

`(4)/(15)* 75=4* 5=20` times