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Probability of a couple having a boy child is 0.4. If a couple decides
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21 Aug 2023, 03:49
21 Aug 2023, 03:49
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Probability of a couple having a boy child is 0.4. If a couple decides to have 3 children, what is the probability that atleast one of them is a girl child?
A. 0.064
B. 0.36
C. 0.64
D. 0.936
E. 1
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A. 0.064
B. 0.36
C. 0.64
D. 0.936
E. 1
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
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\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
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Re: Probability of a couple having a boy child is 0.4. If a couple decides
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21 Aug 2023, 04:11
21 Aug 2023, 04:11
1
We are told to find the probability that at least one of the children is a female.
Since these are independent think (similar to the case of a coin flip, heads or tails) we can create two "sets" of events:
P(all boys)+P(at least 1 girl)=1
P(at least 1 girl)=1-p(all boys)
This will shorten the time on the problem considerably - there is only 1 possible combination for all boys rather than the 3 combos for at least 1 girl.
P(all boys)=(2/5)^3=8/125
1-(8/125)=117/125=0.936
Choice D is correct
Since these are independent think (similar to the case of a coin flip, heads or tails) we can create two "sets" of events:
P(all boys)+P(at least 1 girl)=1
P(at least 1 girl)=1-p(all boys)
This will shorten the time on the problem considerably - there is only 1 possible combination for all boys rather than the 3 combos for at least 1 girl.
P(all boys)=(2/5)^3=8/125
1-(8/125)=117/125=0.936
Choice D is correct
gmatclubot
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