Question

Tossing coins Refer to Exercise 40. Define event $B$: get more heads than tails. Find $P\left(B\right)$.

Short answer

$P\left(B\right)=0.5$

Step-by-step solution

Step 1. Given Information 

Three times a fair coin is tossed. As a result, the probable outcomes are as follows: $\left\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\right\}$. There are a total of eight results. Define event B: obtain a higher number of heads than tails.

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 $Probability=\frac{Favorableoutcomes}{Totaloutcomes}$

This is the sample space: $$\begin{gathered} S=HHH,HHT,HTH,HTT,THH,THT,TTH,TTT \\ n\left(S\right)=8 \end{gathered}$$

So, Event$B$= getting more heads than tails. $n\left(A\right)=4$.

As a result, Probability $=\frac{4}{8}=0.5$