Problem Set

    1. Solve the following problems. Express probabilities as fractions or percentages unless otherwise instructed.

    2. What is the probability that the sum of two dice rolls will yield a 4 OR 6?

    3. What is the probability that the sum of two dice rolls will yield anything but an 8?

    4. What is the probability that the sum of two dice rolls will yield a 7, and then when both are thrown again, their sum will again yield a 7?

    5. What is the probability that the sum of two dice rolls will yield a 5, and then when both are thrown again, their sum will yield a 9?

    6. At a certain pizzeria, 1/6 of the pizzas sold in a week were cheese, and 1/5 of the OTHER pizzas sold were pepperoni. If Brandon bought a randomly chosen pizza from the pizzeria that week, what is the probability that he ordered a pepperoni?

    7. John invites 12 friends to a dinner party, half of whom are men. Exactly one man and one woman are bringing desserts. If one person from this group is selected at random, what is the probability that it is a man who is not bringing a dessert OR that it is a woman?

    8. A fair coin is flipped 5 times.

      Quantity A Quantity B
      The probability of getting more
      heads than tails

    9. A jar contains 3 red and 2 white marbles. Two marbles are picked without replacement.

      Quantity A Quantity B
      The probability of picking two red
      marbles      		 The probability of
      picking exactly one
      red and one white
      marble

    10. A die is rolled n times, where n is at least 3.

      Quantity A Quantity B
      The probability that at least one of
      the throws yields a 6