Question

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

Short answer

$P\left(A\right)=0.25$

Step-by-step solution

Step 1. Given Information  

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

Step 2. Concept Used   

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

Step 3. Calculation  

The formula that was utilized $Probability=\frac{Favorableoutcomes}{Totaloutcomes}$

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

$n\left(S\right)=16$

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

$n\left(A\right)=4$

As a result, Probability $=\frac{4}{16}=0.25$