Concept explainers
(a).
To find:
The probability that all the children are boys.
(a).
Answer to Problem 64E
The required probability is
Explanation of Solution
Given:
Assume that the probability of the birth of a child of a particular sex is
Concept Used:
Apply the formula of the probability:
Calculation:
The probability of boy is
The probability of girl is
Conclusion:
Hence, the required probability is
(b).
To find:
The probability that all the children are the same sex.
(b).
Answer to Problem 64E
The required probability is
Explanation of Solution
Given:
Assume that the probability of the birth of a child of a particular sex is
Concept Used:
Apply the formula of the probability:
Calculation:
The probability of boy is
The probability of girl is
Therefore, the probability that all four children are the same sex is:
Conclusion:
Hence, the required probability is
(c).
To find:
The probability that there is at least one boy.
(c).
Answer to Problem 64E
The required probability is
Explanation of Solution
Given:
Assume that the probability of the birth of a child of a particular sex is
Concept Used:
Apply the formula of the probability:
Calculation:
The probability of boy is
The probability of girl is
Therefore, the probability that all four children are girls is
Thus, the probability of at least one of the four children being boy is
Conclusion:
Hence, the required probability is
Chapter 8 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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