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Chapter 3: Q. 20 (page 216)

What is the probability of rolling an even number of dots with a fair, six-sided die numbered one through six?

Short Answer

Expert verified

The solution isP(even)=36=12=0.5

Step by step solution

01

Step : Given

We must determine the probability of rolling an even number of dots with a fair, six-sided die numbered one through six in the following question.

02

Concept used

Probability is a metric for determining how certain we are of the results of a certain experiment.
The probability is calculated using the following formula:

Probability =Farorable 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="1648043254326" {HT,TH], soP(A)=24=0.5.

03

Calculation

We know that while rolling a fair die, there are six possible results. The following are probable outcomes:

{1,2,3,4,5,6}

As a result, the favorable number of instances for rolling an even number is 32,4,6, and the overall number of cases is 6. As a result, using a fair, six-sided die, the chance of rolling an even number of dots is:

localid="1648029994258" P(even)=36=12=0.5

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Most popular questions from this chapter

A student goes to the library. Let events B = the student checks out a book and D = the student check out a DVD. Suppose that P(B) = 0.40, P(D) = 0.30 and P(D|B) = 0.5.

a. Find P(B AND D).

b. Find P(B OR D).

A shelf holds 12books. Eight are fiction and the rest are nonfiction. Each is a different book with a unique title. The fiction books are numbered one to eight. The nonfiction books are numbered one to four. Randomly select one book

Let F = event that book is fiction

Let N = event that book is nonfiction

What is the sample space?

Use the following information to answer the next 12exercises. The graph shown is based on more than 1,70,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

What occupation has the highest emotional index score?

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).

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).
See all solutions

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