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Tossing coins Imagine tossing a fair coin 3 times. (a) What is the sample space for this chance

process? (b) What is the assignment of probabilities to outcomes in this sample space?

Short Answer

Expert verified

Part (a) All potential outcomes sequences=23.

Part (b) The probability=18

Step by step solution

01

Part (a) Step 1. Given Information  

No. of times coin is tossed=3.

02

Part (a) 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

Part (a) Step 3. Calculation  

The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation. A sequence of three fair coins' sample space contains all conceivable outcomes sequences=23

To put it another way, the sample of a fair coin is H,T

HHH,HHT,HTH,HTT,THH,THT,TTH,TTT

04

Part (b) Step 1. Calculation  

A sequence of three fair coins' sample space contains all conceivable outcomes sequences=23

To put it another way, the sample of a fair coin flip is H,T

HHH,HHT,HTH,HTT,THH,THT,TTH,TTT

Because there are 8possible outcomes in the specified sample space, a fair coin is tossed three times. As a result, all of the events in the specified sample space have the same probability. As a result, the likelihood =18.

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