(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)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3P: Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the...
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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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4fa64f0-9af7-480a-b1d8-44831f3a1adc%2Fba0aad4b-42a4-462b-a04e-ec85e14e16c2%2F26prakf_processed.png&w=3840&q=75)
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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