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

9/35935

Explanation:

There are a total of 6+9=156+9=15 names.

The probability that the first name chosen will be a boy's is 6/15 = 2/5615=25.

Then there remain 55 boy's names and 99 girl's names. So the probability that the second name chosen will be a girl's is 9/14914.

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

2/5 * 9/14 = 18/70 = 9/3525914=1870=935