If there are two children in a family, find the probability that there is at least one boy in the family

Question:

If there are two children in a family, find the probability that there is at least one boy in the family

 

Solution:

We know that,

Probability of occurrence of an event

$=\frac{\text { Total no. of Desired outcomes }}{\text { Total no. of outcomes }}$

Let $B$ be Boy and $G$ be Girl

Total possible outcomes are BB, BG, GB, GG

Our desired outcome is at least one boy. So, BB, BG, GB are desired outputs.

Total no. of outcomes are 4 , and the desired outcomes are 3

Therefore, the probability of at least one boy $=\frac{3}{4}$

 

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