A jar of 150 jelly beans contains 24 red jelly beans, 34 yellow, 22 green, 28 purple, 20 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(B). (Enter your probability as a fraction.)
Question
A jar of 150 jelly beans contains 24 red jelly beans, 34 yellow, 22 green, 28 purple, 20 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(B). (Enter your probability as a fraction.)
Solution
To find the probability of event B (getting a blue jelly bean), we need to divide the number of blue jelly beans by the total number of jelly beans.
First, we need to find out how many orange jelly beans there are. We know that there are 150 jelly beans in total, and we know the number of each other color, so we subtract the number of all other colors from the total to find the number of orange jelly beans.
The number of orange jelly beans is 150 - 24 (red) - 34 (yellow) - 22 (green) - 28 (purple) - 20 (blue) = 22 orange jelly beans.
Now, to find P(B), we divide the number of blue jelly beans by the total number of jelly beans.
P(B) = 20 (blue) / 150 (total) = 2/15.
So, the probability of getting a blue jelly bean, P(B), is 2/15.
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