If the probability of having a male or female child are both

If the probability of having a male or female child are both 0.50, nd the probabilities that

a. a family\'s fourth child is their rst son;

b. a family\'s seventh child is their second daughter;

c. a family\'s tenth child is their fourth or fth son.

Solution

a)

0.5 * 0.5 *0.5 *0.5 = 0.0625

b)

0.5 ^7 * 0.5 = 0.00390625

c)

0.5^(10-1) * 0.5 = 0.000009765