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.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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