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Chapter 5: Q 42. (page 309)

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

Short Answer

Expert verified

P(B)=0.5

Step by step solution

01

Step 1. Given Information 

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

02

Step 2. Concept Used    

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

03

Step 3. Calculation   

The formula that was utilized Probability=FavorableoutcomesTotaloutcomes

This is the sample space: S=HHH,HHT,HTH,HTT,THH,THT,TTH,TTTn(S)=8

So, EventB= getting more heads than tails. n(A)=4.

As a result, Probability =48=0.5

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