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A jar of 150 jelly beans contains 20 red jelly beans, 38 yellow, 26 green, 22 purple, 28 blue, and the rest are orange.Let B = the event of getting a blue jelly bean.Let G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting a purple jelly bean.Let R = the event of getting a red jelly bean.Let Y = the event of getting a yellow jelly bean.Find P(P). (Enter your probability as a fraction.)

Question

A jar of 150 jelly beans contains 20 red jelly beans, 38 yellow, 26 green, 22 purple, 28 blue, and the rest are orange.Let B = the event of getting a blue jelly bean.Let G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting a purple jelly bean.Let R = the event of getting a red jelly bean.Let Y = the event of getting a yellow jelly bean.Find P(P). (Enter your probability as a fraction.)

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Solution

To find the probability of event P (getting a purple jelly bean), you need to divide the number of purple jelly beans by the total number of jelly beans.

Step 1: Identify the total number of jelly beans. The problem states there are 150 jelly beans in total.

Step 2: Identify the number of purple jelly beans. The problem states there are 22 purple jelly beans.

Step 3: Divide the number of purple jelly beans by the total number of jelly beans to find the probability of getting a purple jelly bean.

So, P(P) = 22/150 = 11/75.

This problem has been solved

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