Probability involving permutations and combinations

Probability involving permutations and combinations

Lessons

  • 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


  • 2.
    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?


  • 3.
    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.