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 :

frika

Answer:

See explanation

Step-by-step explanation:

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

[tex]14+12+19=45[/tex] balls in total.

A. The propbabilities that

a randomly chosen ball from the bag is green [tex]=\dfrac{14}{45};[/tex]

a randomly chosen ball from the bag is orange [tex]=\dfrac{12}{45}=\dfrac{4}{15};[/tex]

a randomly chosen ball from the bag is purple [tex]=\dfrac{19}{45}.[/tex]

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

[tex]\begin{array}{lccc}\text{Ball}&\text{Green}&\text{Orange}&\text{Purple}\\ \\\text{Probability}&\dfrac{14}{45}&\dfrac{4}{15}&\dfrac{19}{45}\end{array}[/tex]

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

[tex]\dfrac{4}{15}\times 75=4\times 5=20[/tex] times

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