The names of six boys and nine girls from your class are put into a hat. What is the probability that the first two names chosen will be a boy followed by a girl?

1 Answer
Feb 16, 2016

9/35

Explanation:

There are a total of 6+9=15 names.

The probability that the first name chosen will be a boy's is 6/15 = 2/5.

Then there remain 5 boy's names and 9 girl's names. So the probability that the second name chosen will be a girl's is 9/14.

So the probability of a boy's name followed by a girl's name is:

2/5 * 9/14 = 18/70 = 9/35