Question

Please help, I'll give you a medal!

From a committee of six girls and four boys, a name is selected. Then another name is selected. What is the probability that both people drawn from will be girls.

A.9/25
B.2/15
C.3/5
D.1/3

Answer 1

Total number of boys and girls=6+4=10
P(2 girls)
=(6/10)*(5/9)
=1/3
=D
Do you know why?

Answer 2

When you draw the first name, its probability of being a girl's name is 6/10, since there are 6 girls and a total of 10 people

After selecting the first girl, you are left with the names of 5 girls and a total of 9 people. Hence when you go on selecting the second name, its probability of being a girl becomes 5/9

The probability of both the above events occurring together is 6/10 * 5/9 = 1/3