Question

8 blue, 12 red in box A; 6 blue, 18 red in box B;
There are 12 blue and 4 red balls in the C box. A random ball is
selected from a randomly selected box and appears to be red.

a) the probability that this ball is red

b) the probability that this ball has been withdrawn from box
A

c) the probability that this ball was withdrawn from bag B

d) the probability that this ball was withdrawn from bag C

Answer #1

Let A : Box A, B: Box B, C:Box C

R: Red Ball, B: Blue Ball

P(R|A) = 12/20

P(R|B) = 18/24

P(R|C) = 4/16

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