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(i) If the outcome of one event does not influence another event, then the two events are (a) mutually exclusive (b) dependent (c) independent (d) both (a) and (c)

(i) If the outcome of one event does not influence another event, then the two events are (a) mutually exclusive (b) dependent (c) independent (d) both (a) and (c)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(i) If the outcome of one event does not influence another event, then the two events are (a) mutually exclusive (b) dependent (c) independent (d) both (a) and (c) (i) The events of tossing a coin are mutually exclusive because (a) On any one toss it is not possible to get a head and a tail (b) The outcome of one toss is not affected by the outcome of an earlier toss (c) The probability of getting a head and the probability of getting a tail are the same (d) All of these (iii) It P(AB) = 0, then the two events A and B are said to be (a) dependent (b) independent (c) equally likely (d) none of these (iv) On the assumption that the two events A and B are mutually exclusive, P(A or B)= P(A) + P(B). How does P(A or B) change if the two events are not mutually exclusive? (a) [P(A) + P(B)] must be multiplied by P(AB) (b) [P(A) + P(B)] must be divided by P(AB) (c) P(AB) must be subtracted from P(A) + P(B) (d) P(AB) must be added to P(A) + P(B)
Transcribed Image Text:(i) If the outcome of one event does not influence another event, then the two events are (a) mutually exclusive (b) dependent (c) independent (d) both (a) and (c) (i) The events of tossing a coin are mutually exclusive because (a) On any one toss it is not possible to get a head and a tail (b) The outcome of one toss is not affected by the outcome of an earlier toss (c) The probability of getting a head and the probability of getting a tail are the same (d) All of these (iii) It P(AB) = 0, then the two events A and B are said to be (a) dependent (b) independent (c) equally likely (d) none of these (iv) On the assumption that the two events A and B are mutually exclusive, P(A or B)= P(A) + P(B). How does P(A or B) change if the two events are not mutually exclusive? (a) [P(A) + P(B)] must be multiplied by P(AB) (b) [P(A) + P(B)] must be divided by P(AB) (c) P(AB) must be subtracted from P(A) + P(B) (d) P(AB) must be added to P(A) + P(B)
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