The Thomas family has 2 kids, 2 boys and 0 girls. Suppose that for each birth, the probability of a boy birth is 1/2 and the probability of a girl birth is also 1/2. What is the fractional probability of having 2 boys and 0 girls, in any order, in a family's first 2 births
There are four possible outcomes for the gender of the two kids: BB, BG, GB, GG. However, we are only interested in the outcome of 2 boys and 0 girls, so we only have one outcome to consider: BB.
The probability of having a boy on the first birth is 1/2, and the probability of having another boy on the second birth is also 1/2. To find the probability of both events occurring, we multiply the probabilities:
(1/2) x (1/2) = 1/4
Therefore, the fractional probability of having 2 boys and 0 girls in a family's first 2 births is 1/4.