Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph. What is the probability that one girl and two boys will be chosen?
This is the concept of probability and statistics, we are required to find the probability of one girl and 2 boys to be chosen in a group of 4 girls and 6 boys; This information can be modeled by binomial distribution. Here we shall proceed as follows; P(B)=3/5 P(G)=2/5 P(x)=p^(x)(1-p)^(n-x)(nCx) P(x)=(3/5)^6(2/5)^4(10C6) P(x)=0.2508