You and your mom enter a drawing with 3 different prizes. A total of 9 people

entered the drawing, and prizes are awarded randomly.

There are 504 ways to award the prizes.

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

prize?

A. 9/504

B. 7/504

C. 1/504

D. 1/9

Step-by-step explanation:

Probability of an event occurring is the ratio of the number of time the event occur over the total sample space

Total sample space is 504 ways

Now, the event that you win the first prize and your mum wins the second price, can only occur in one way, their is no other way it can occur

Therefore,

Pr (you win first prize and your mom wins second prize) = 1 / 504

So, the correct answer is C.