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Chapter 3: Q. 21 (page 216)

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

Short Answer

Expert verified

The solution isP(prime number)=36=12=0.5

Step by step solution

01

Given

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

02

Concept used

Probabilityisametricfordetermininghowcertainweareoftheresultsofacertainexperiment.
Theprobabilityiscalculatedusingthefollowingformula:

Probability =Fawrable 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="1648043311671" [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 the probable outcomes: {1,2,3,4,5,6}
As a result, the favorable number of instances for rolling a prime number is 3{2,3,5}, and the overall number of cases is 6.
As a result, P(primenumber)=36=12=0.5is the probability of rolling a prime number of dots with a fair, six-sided die.

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