In a family with 5 ​children, excluding multiple​ births, what is the probability of having 5 girls​? Assume that a girl is as likely as a boy at each birth.

Question

In a family with 5 ​children, excluding multiple​ births, what is the probability of having 5 girls​? Assume that a girl is as likely as a boy at each birth.

Find the number of elements in event​ E, n(E), and the total number of outcomes in the sample​ space, n(S).

​n(E)= ________

​n(S)= ________

Answer 1

probability of five girls = (1/2)^5 = 1/2^5 = 1/32

n(5 girls happening) = 1

n(all possible outcomes) = 2^5 = 32

P(5 girls) = 1/32