84. (a) If for two events, A and B 1 P(B) and P(A/B) Then find P(B A). 4 (b) If P(A) = 0.4, P(A U B) = 0.7, then, for two independent events, A and B, find P (B). (c) One of the two events, A and B, must occur, If the chance if 4 is of that of B, then find 3 odds in favour of B.

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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84. (a) If for two events, A and B
1
Then find P(BA).
4
P(B) =
and P(A/B) =
2
(b) If P(A) = 0.4, P(A U B) = 0.7, then, for two independent events, A and B, find P (B).
(c) One of the two events, A and B, must occur. If the chance if 4 is
of that of B, then find
3
odds in favour of B.
(d) In an examination, 50% and 40% students failed in mathematics and statistics, respectively,
and 20% failed in both the subjects. A student is selected at random, find the probability that,
(i) The student failed in statistics when it is known that he failed in mathematics.
(ii) The student failed in exactly one subject
Transcribed Image Text:84. (a) If for two events, A and B 1 Then find P(BA). 4 P(B) = and P(A/B) = 2 (b) If P(A) = 0.4, P(A U B) = 0.7, then, for two independent events, A and B, find P (B). (c) One of the two events, A and B, must occur. If the chance if 4 is of that of B, then find 3 odds in favour of B. (d) In an examination, 50% and 40% students failed in mathematics and statistics, respectively, and 20% failed in both the subjects. A student is selected at random, find the probability that, (i) The student failed in statistics when it is known that he failed in mathematics. (ii) The student failed in exactly one subject
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