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Q.

In a family of 3 children, find the probability of having at least one boy.


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a

7 8  

b

1 8  

c

1 3  

d

2 3   

answer is A.

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Detailed Solution

Given, a family of three children.
The probable outcomes are bbb, bbg, bgg, ggg, bgb, gbb, gbg, ggb
Total possible outcomes are 8.
The possible outcomes of having at least one boy is bbb, bbg, bgg, bgb, gbb, gbg, ggb.
Total possible outcomes are 7.
So, P(A)= 7 8   Therefore, the required probability is 7 8   .
Hence the correct option is 1.
 
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In a family of 3 children, find the probability of having at least one boy.