ProbabilityHard
Question
If from each of the three boxes containing 3 white and 1 black, 2 which and 2 black, 1 which and 3 black balls, one ball is drawn at random, then the probability that 2 white and 1 black balls will be drawn, is
Options
A.
B.
C.
D.
Solution
P(2 white and 1 black) = P(W1W2B3 or P(W1B2W3 or P(B1W2W3)
= P(W1W2B3) + P(W1B2W3) + P(B1W2W3)
P(W1)P(W2)P(B3) + P(W1)P(B2)P(W3) + P(B1)P(W2)P(W3)
(9 + 3 + 1)
= P(W1W2B3) + P(W1B2W3) + P(B1W2W3)
P(W1)P(W2)P(B3) + P(W1)P(B2)P(W3) + P(B1)P(W2)P(W3)
(9 + 3 + 1)Create a free account to view solution
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