Question

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?

Answer 1

`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`