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Chapter 5: Q. 32 (page 326)

Tossing coins Imagine tossing a fair coin 3times.

a. Give a probability model for this chance process.

b. Define event B as getting more heads than tails. Find P(B).

Short Answer

Expert verified

(a) There are total 8probability outcomes in the probablity model

(b) The probabilty P(B)of getting more heads than tails is1/2

Step by step solution

01

Part (a) STEP 1: Given information 

We have been given that a coin is tossed 3times.

02

Part (a) STEP 2: Explanation

In a single toss of a coin there are 2 conceivable results specifically Head (H) and Tail (T). So, by the basic rule of duplication, the full number of conceivable results in3tosses=(2×2×2)=2^3=8.

Sample space: (HHH,HTH,THH,TTH,HHT,HTT,THT,TTT)

03

Part (b) STEP 1: Given information

We have been given that a coin is tossed 3imes.

04

Part (b) STEP 2: Explanation 

P(B)=Probabilty of getting more heads than tails

P(B)=Total outcomes with 2or more heads /Total outcomes

Total outcomes with two or more heads =4

Total outcomes=8

P(B)=4/8=1/2

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