If there are two children in a family, find the probability that there

1.	If there are two children in a family, find the probability that there is at least one boy in the family
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 \(\frac{3}{4}\)

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

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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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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