In a certain country the true probability of a baby being a

In a certain country, the true probability of a baby being a boy is 0.517.Among the next five randomly selected births in the country, what is the probability that at least one of them is a girl?

Solution

Let a success be having a baby girl here.

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    5      
p = the probability of a success = 1 - 0.517 = 0.483      
x = the number of successes =    0      
          
Thus, the probability is          
          
P (    0   ) =    0.036936243

Thus, P(at least one) = 1 - P(0) =    0.963063757   [ANSWER]