(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)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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