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Theoretical Basic Probability

Created by rodney_indy

Fun Trivia : Quizzes : Statistics and Probability

	"This is a quiz on the language and basic results of probability that would be found in a course in finite mathematics. Good luck!"
15 Points Per Correct Answer - No time limit

1. Suppose E and F are mutually exclusive events in a sample space S with probabilities .4 and .3 respectively. What is the probability of their union?

.3

.1

.7

.4

2. Suppose E is an event in a sample space S with probability .3. What is the probability of the complement of E?

.7

0

.3

1

3. Suppose E and F are events in a sample space S. Suppose further that E has probability .2, F has probability .6, and the intersection of E and F has probability .1. What is the probability of the union of E and F?

.6

.7

.8

.68

4. Suppose E and F are independent events in a sample space S. Suppose further that E has probability .3 and F has probability .4. What is the probability of the intersection of E and F?

.7

1

0

.12

5. Suppose E and F are independent events in a sample space S. Suppose further that E has probability .3 and F has probability .4. What is the probability of the union of E and F?

.58

.4

.7

.12

6. Suppose E and F are mutually exclusive events in a sample space S. Suppose further that E has probability .3 and F has probability .4. What is the probability of the intersection of E and F?

0

.3

.7

.12

7. Suppose E and F are events in a sample space S. Suppose further that E has probability .3, F has probability .4, and the intersection of E and F has probability .2. Find the probability of the intersection of E and (the complement of F).

.3

0

.1

.2

8. Suppose E and F are events in a sample space S. Suppose further that E has probability .5, F has probability .6, and the intersection of E and F has probability .2. Find the probability of the union of E and (the complement of F).

.3

.6

.5

.8

9. Suppose E and F are events in a sample space S. Suppose further that E has probability .8 and F has probability .9. What is the largest possible value for the probability of the intersection of E and F?

.8

.2

.7

.9

10. Suppose E and F are events in a sample space S. Suppose further that E has probability .8 and F has probability .9. What is the smallest possible value for the probability of the intersection of E and F?

.9

.7

.8

.1