Question

In the united states, the true probability of a baby being a boy is 0.512 (based on the data available at this writing). among the next six randomly selected births in the united states, what is the probability that at least one of them is a girl

Answer 1

In united states the probability that baby being boy is 0.512

P(B) = 0.512

Now among next six selected birth what is probability that atleast one of them is girl.

P(atleast one is girl) = 1 - P(none out of 6 is girl)

= 1 - P(all 6 births are boy)

= 1 - (0.512)^6

= 1 -0.018

P(atleast one is girl) = 0.982

So among the next six randomly selected births in the united states, the probability that at least one of them is a girl is 0.982