Assume that the probability of any newborn baby being a boy is one half and that all births are independent. If a family has three children (no twins), what is the probability of the event that they are all boys?

Now we are considering that the three children are all boys. This means we are considering that the first is a boy, the second is a boy and the third too is a boy. This brings us to the situation BBB

That is a boy and a boy and another boy. In probability, the word and means we multiply the three.

Hence:

P(BBB) = P(B1) * P(B2) * P(B3) = 1/2 * 1/2 * 1/2 = 1/8 or 0.125

Assume that the probability of any newborn baby being a boy is one half and that all births are independent. If a family has three children​ (no twins), what is the probability of the event that they are all boys​?

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Assume that the probability of any newborn baby being a boy is one half and that all births are independent. If a family has three children (no twins), what is the probability of the event that they are all boys?