Question

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 reward the prizes. What is the probability that you win first prize and tour mom wins second prize?

Answer 1

Answer:

it's 7

Step-by-step explanation:

Because I chose that on Apex and got it right.

Answer 2

Answer:

$\frac{1}{72}$

Step-by-step explanation:

We have been given that there are total 9 people who entered the drawing competition. There are 3 prizes to be distributed to the winners. The total number of ways that 3 prizes can be awarded to the 9 people can be determined as 9*8*7 = 504.

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*7 = 7.

Therefore, the probability that I win the first prize and my mom wins the second prize would be: $\frac{7}{504}=\frac{1}{72}$