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(G).

Short Answer

Expert verified

The value ofP(G)is0.13.

Step by step solution

01

Given 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=Favorable 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

localid="1648977556231" {HT,TH}, soP(A)=24=0.5.

03

Calculation

Now to find the probability of getting a green jelly bean, the favorable number of cases is 20 and total cases are 150 .

Therefore, the probability of getting a green jelly bean is:

P(G)=20150=215=0.13

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Most popular questions from this chapter

On February 28,2013, a Field Poll Survey reported that 61%of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18to39year olds (California registered voters), the approval rating was 78%. Six in ten California registered voters said that the upcoming Supreme Court’s ruling about the constitutionality of California’s Proposition 8was either very or somewhat important to them. Out of those CA registered voters who support same-sex marriage, 75%say the ruling is important to them.

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