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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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