Probability involving permutations and combinations

All in One Place

Everything you need for better grades in university, high school and elementary.

Learn with Ease

Made in Canada with help for all provincial curriculums, so you can study in confidence.

Instant and Unlimited Help

Get the best tips, walkthroughs, and practice questions.

  1. 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.
    1. If the raffle has three identical prizes, what is the probability that Amy, Ben, and Calvin are the 3 prize winners?
    2. 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?
    1. All 3 people selected are girls.
    2. Only 1 person selected is a girl.
    3. At least 2 people selected are boys.