Probability

Topics in this chapter

• Sample Spaces and Events
• Elementary Probability and Complements
• Unions, Intersections and Addition
• Conditional Probability and Independence
• Total Probability and Bayes
• Counting Methods for Probability

Cheat sheet

Practice questions

1. Question 1Q-7D12F9

   A fair die is thrown once. What is the probability of obtaining a number that is not prime?

   1. A.1/3
   2. B.1/2
   3. C.2/3
   4. D.5/6
   See the answer and solution
2. Question 2Q-A59578

   Two fair dice are thrown together. What is the probability that the sum is at least 10 or both dice show the same number?

   1. A.5/18
   2. B.1/3
   3. C.7/18
   4. D.11/36
   See the answer and solution
3. Question 3Q-BEB0F5

   Two cards are drawn successively without replacement from a standard deck of 52 cards. What is the probability that exactly one of the two cards is an ace?

   1. A.16/221
   2. B.32/221
   3. C.8/51
   4. D.4/13
   See the answer and solution
4. Question 4Q-100049

   For a fair die, let A be the event of obtaining an even number and B be the event of obtaining 5. Find P(A ∪ B) using the addition theorem and state whether A and B are mutually exclusive.

   See the answer and solution
5. Question 5Q-24703F

   A fair coin is tossed three times. What is the probability of obtaining exactly two heads?

   1. A.1/8
   2. B.3/8
   3. C.1/2
   4. D.5/8
   See the answer and solution