In: Statistics and Probability
In the US, the probability of a baby being a boy is 0.512. Among the next ten randomly selected births in the US, what is the probability that at least one of them is a girl.
Probability of a boy = 0.512
Probability of a girl = 1 - 0.512 = 0.488
n = 10
P(at least one girl) = 1 - P(no girl)
= 1 - P(all 10 boys)
= 1 - (0.512)^10
= 0.9988 (approx)
Hence, the required probability is 0.9988 (rounded to 4 decimal places)