Question

You and your mom enter a drawing with 3 different prizes. A total of 10

people entered the drawing, and prizes are awarded randomly,
There are 720 ways tO award the prizes.
What is the probability that you win first prize and your mom wins second
prize?l

Answer 1

The correct answer is
`(8)/(720)`

Explanation:

Number of people who entered the drawing = 10

Number of prizes = 3

Number of ways to award the prize = 720 ways

The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:

10*9*8 = 720

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8

Thus the probability that i win the first prize and my mom wins the second prize would be
`(8)/(720)`