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

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Best answer

We know that,

Probability of occurrence of an event

  = \(\frac{Total\,no.of\,Desired\,outcomes}{Total\,no.of\,outcomes}\) 

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 = \(\frac{3}{4}\)

Conclusion: Probability of at least one boy is \(\frac{3}{4}\)

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