A jar of 150 jelly beans contains 22 red jelly beans, 32 yellow, 24 green, 20 purple, 26 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(Y ). (Enter your probability as a fraction.)
Question
A jar of 150 jelly beans contains 22 red jelly beans, 32 yellow, 24 green, 20 purple, 26 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(Y ). (Enter your probability as a fraction.)
Solution
The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes.
In this case, the event Y is getting a yellow jelly bean. There are 32 yellow jelly beans, and the total number of jelly beans is 150.
So, the probability P(Y) is calculated as follows:
P(Y) = Number of yellow jelly beans / Total number of jelly beans = 32 / 150 = 16 / 75
So, P(Y) = 16/75.
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