David J. Weiss
Probability Problem Set 1
- If we roll two dice, what is
the probability of not obtaining an even sum?
- If we roll four dice, what is
the probability that none of them will show a "four"?
- Two cards will be dealt from
a well-shuffled deck. You may choose from one of two options: (a) If the
first card is a club, you win $1; (b) If the first card is a club or the
second card is a diamond (or both), you win $1. Which option is better, or
are they equivalent?
- You and two friends go to the
stable for horseback riding. There are four horses available. One of these
horses is a wild, violent animal named Hitler. Assume that you and your
friends will be assigned to horses randomly. What is the probability that
(a) you will have to ride Hitler; (b) one of your group will have to ride
Hitler? What is the probability that you will suffer serious injury?
- Three dice are rolled. What
is the chance of getting a sum of three? What is the chance that all three
dice show three or more spots?
- If you are dealt four cards
from a well-shuffled deck, what is the probability that you will receive
exactly three kings?