Answer: [tex]\frac{6}{336}[/tex]
Step-by-step explanation:
Given: The Number of different prizes = 3
The number of people entered the drawing room = 8
The number of ways to select for 3 prizes, such that you win first prize and your mom wins second prize = You × Mom × Rest of people
[tex]1\times1\times(8-2)=1\times6=6[/tex]
The total number of ways to award the prizes = 336
Therefore, the probability that you win first prize and your mom wins second prize=[tex]\frac{6}{336}[/tex]
