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Theoretical Basic Probability

Crafted by Trivia Architect rodney_indy

Fun Trivia : Quizzes : Statistics and Probability : Theoretical Basic Probability

Introduction:
	"This is a quiz on the language and basic results of probability that would be found in a course in finite mathematics. Good luck!"

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?

.1

.3

.4

.7

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

1

.3

.7

0

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?

1

.7

.12

0

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?

.12

.7

.58

.4

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?

.7

0

.3

.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).

.1

.2

0

.3

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).

.8

.3

.6

.5

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?

.7

.9

.2

.8

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?

.1

.9

.7

.8

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