Problem Solving

From a group of 3 boys & 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?

Answer: 3/5

Can anyone explain?

likewhoa wrote:From a group of 3 boys & 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?

Answer: 3/5

Can anyone explain?

Total Possible Outcomes i.e ways in which you can select 4 children from 6 = 6C4 = 15

Total way in which u can select 2 boys from 3 = 3C2 = 3
Total ways in which you can select 2 girls from 3 is 3C2 = 3
Total ways in which you can select 2 girls and 2 boys is 3 * 3 = 9

So P (2 boys + 2 girls ) = 9/15 = 3/5

P