P(.)=. PL8)= and P(auB)= P(AUB) =. (a) Two events A and B are such that P(. Find

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Chapter1: Combinatorial Analysis
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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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Answer 1a , b

1.
events A and B are such that P(.) =. P(B) = and P(AUB) =2. Find
4
(a)
Two
( (1)
P(AnB)
(ii)
P(AIB)
P(A' IB)
(iii)
(b) A bag contains 4 red, 3 blue and 3 white balls only. An experiment consists of drawing two balls at random one after the
other. When a ball is drawn, its colour is anoted, kept aside and one bll each of the other colors are added in the bag.
(iv)
Draw a probability tree diagram for this experiment.
Find the probability that
(v)
balls drawn are of the sme colo ur.
(vi)
at least one white ball is drawn.
Transcribed Image Text:1. events A and B are such that P(.) =. P(B) = and P(AUB) =2. Find 4 (a) Two ( (1) P(AnB) (ii) P(AIB) P(A' IB) (iii) (b) A bag contains 4 red, 3 blue and 3 white balls only. An experiment consists of drawing two balls at random one after the other. When a ball is drawn, its colour is anoted, kept aside and one bll each of the other colors are added in the bag. (iv) Draw a probability tree diagram for this experiment. Find the probability that (v) balls drawn are of the sme colo ur. (vi) at least one white ball is drawn.
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