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Chapter 5: Q 41. (page 309)

Role-playing games Refer to Exercise 39. Define event A: sum is 5. Find P(A).

Short Answer

Expert verified

P(A)=0.25

Step by step solution

01

Step 1. Given Information  

There are four faces on a four-sided die =1,2,3,4.

02

Step 2. Concept Used   

A chance process' sample spaceS is the collection of all potential outcomes. A probability model is a two-part description of a random process that includes a sample spaceS and probabilities for each result.

03

Step 3. Calculation  

The formula that was utilized Probability=FavorableoutcomesTotaloutcomes

It is necessary to roll twice. There are four options for the first and second rolls: 1,2,3,4As a result, sample space is, S=(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)

n(S)=16

As a result, Event A= all outcomes with a total of 5.

n(A)=4

As a result, Probability =416=0.25

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