Question

the names of nine boys and two girls are in a hat. what is the probability of first drawing a girls name and then a boys name from the hat

Answer 1

18/121 shoul be the answer

Answer 2

The probability of first drawing a girls name and then a boys name from the hat is:

`(9)/(55)`

Explanation:

It is given that:

The names of nine boys and two girls are in a hat.

This means that the total number of names in the hat are: 9+2=11.

Also, the probability of first drawing a girls name and then a boys name from the hat is given by:

Probability of drawing a girl name×Probability of drawing a boy name.

Also, the drawing of names is done without replacement.

Hence, we get probability as:

`=(2)/(11)* (9)/(10)\\\\=(9)/(55)`

The probability is:
`(9)/(55)`