lice and Bill are planning to have three children. (Assume that it is equally likely for a boy or a girl to be born.) What is the probability that all three of their children will be girls?

Respuesta :

Answer:

The probability of all three children being girls is 0.125.

Step-by-step explanation:

The events of a boy being born and the girl being born is equally likely.

That is, P (G) = P(B) = 0.50.

The gender of nth baby born is independent of the gender of the (n - 1)th baby born.

Compute the probability of all girls as follows:

P (All three girls) = P (G) × P (G) × P (G)

                           [tex]=0.50\times0.50\times0.50\\=0.125[/tex]

Thus, the probability of all three children being girls is 0.125.

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