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?
The probability of you winning first prize is 1 out of 10, since there are 10 people entered in the drawing.
After you win first prize, there are 9 people left, so the probability of your mom winning second prize is 1 out of 9.
Therefore, the probability that you win first prize and your mom wins second prize is (1/10) * (1/9) = 1/90.
So, the probability is 1/90.