Question

A nationwide survey showed that 65% of all children in Ghana dislike eating vegetables. If 4 children are chosen at random, what is the probability that all 4 dislike eating vegetables?

Answer 1

Consider these events independent because there are a lot more than 4 children in Ghana.
Use binomial distribution.
C(4,4)(.65)^4 (.35)^0
1 * .65^4 * 1
.65^4

note C(n,k) = n!/[k!(n-k)!]
defined as 1 for k = 0

see
http://www.mathsisfun.com/data/binomial-distribution.html