Question

Find the probability that a family of five children will have exactly three boys

Answer 1

The answer can be found by using the binomial distribution as follows:
\[P(5\ boys)=5C3\ \times0.5^{3}\ \times0.5^{2}=\frac{5\times4}{2} \times0.5^{5}=you\ can\ calculate\]

Answer 2

Unfortunately, this does not appear on my screen as a formatted equation, but rather as a lot of formatting. I don't doubt that it is correct.