Question

You and your mom enter a drawing with three different prizes. A total of eight people entered the drawing and prizes are awarded randomly.

There are 336 ways to award the prizes.

What is the probability that you win first prize and your mom won second prize?

Answer 1

Answer: C.
`(6)/(336)`

Explanation:

Given: The number of different prizes = 3

The number of people entered the drawing = 8

The total number of ways to award the prizes. = 336

Now, The number of ways to select for 3 prizes, such that you win first prize and your mom wins second prize is given by :-

`1*1*(8-2)=6`

Hence, the probability that you win first prize and your mom wins second prize=
`(6)/(336)`