Probability involving permutations and combinations

Probability involving permutations and combinations

Lessons

• Introduction
Two cards are picked without replacement from a standard deck of 52 cards.
Determine the probability that both cards are queens using:
a)
the multiplication rule

b)
combinatorics

• 1.
Three prizes are awarded in a raffle to a class of 25 students. Each student holds one ticket.
a)
If the raffle has three identical prizes, what is the probability that Amy, Ben, and Calvin are the 3 prize winners?

b)
What is the probability that Amy, Ben, and Calvin win first prize of $100, second prize of$20, and third prize of \$5, respectively?

• 2.
A class has 6 girls and 4 boys. A committee of 3 is to be randomly selected. What is the probability of each event?
a)
All 3 people selected are girls.

b)
Only 1 person selected is a girl.

c)
At least 2 people selected are boys.