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Chapter 3: Q.9 (page 215)

FindP(R).

Short Answer

Expert verified

The required probability is P(R)=0.15.

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

Explanation

Number of orange jelly beans,

=150-(22+38+20+28+26)

=150-134

=16

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.

The favorable number of cases is 22and the total cases are150to calculate the probability of getting a red jelly bean. The probability of getting a red jelly bean is as follows:

P(R)=22150

=1175

=0.15

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Most popular questions from this chapter

Let event A = learning Spanish. Let event B = learning German. Then A AND B = learning Spanish and German.Suppose P(A) = 0.4 and P(B) = 0.2. P(A AND B) = 0.08. Are events A and B independent? Hint: You must show ONE of the following:

• P(A|B) = P(A)

• P(B|A) = P(B)

• P(A AND B) = P(A)P(B)

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6%of all Californians are Latino. In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

In words, what is C|L?

Q and R are independent events. P(Q)=0.4 and P(QANDR)=0.1. Find P(R).

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(P).

The probability that a man develops some form of cancer in his lifetime is 0.4567. The probability that a man has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51 Let: C = a man develops cancer in his lifetime; P = man has at least one false positive. Construct a tree diagram of the situation.
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