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A jar of 150 jelly beans contains 22 red jelly beans, 38

yellow, 20 green, 28 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(B).

Short Answer

Expert verified

P(B)=26150=1375=0.17

Step by step solution

01

Given Information

In the given question, we are given the following information:

A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue and the rest are orange.

02

Concept Used

Probability is a measure that is associated with how certain we are of outcomes of a particular experiment.

The formula for calculating the probability is:

Probability =Favrable number of casesTotal number of cases

For example, if we flip a coin two times, the sample space associated with this random experiment is {HH,HT,TH,TT}where T= tails and H= heads. Let's suppose A= getting one tail. There are two

outcomes which favors the event A

{HT,TH}, so P(A)=24=0.5.

03

Calculation

Number of orange jelly beans =150-(22+38+20+28+26)=150

=-134

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.

Now to find the probability of getting a blue jelly bean, the favorable number of cases is 26 and total cases are 150 . Therefore, the probability of getting a blue jelly bean is:

P(B)=26150=1375=0.17

04

Conclusion

P(B)=0.17.

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