Concept explainers
(a)
To find:
The
(a)
Answer to Problem 40E
All possible sequences of outcomes
Explanation of Solution
Given:
The sample of a fair coin is
Concept used:
Sample space:-In
Calculation:
A sample space is usually denoted using set notation and the possible ordered outcomes are listed as element in the set
The sample space of a sequence of three fair cions is all possible sequences of outcomes
That is
The sample of a fair coin is
(b)
To find:
The assignment of probability to outcome tossing a fair coin in this sample space
(b)
Explanation of Solution
Given:
The sample of a fair coin flip is
Concept used:
Sample space:-in probability theory the sample space of an experiment or random trial is the set of all possible outcomes or result of that experiment
A sample space is usually denoted using set notation and the possible ordered outcomes are listed as element in the set
Calculation:
The sample space of a sequence of three fair coins is all possible sequences of outcomes
That is
The sample of a fair coin flip is
Since the given sample space has
Therefore , the probability of all the
Hence ,
The probability
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