Subtopic: Mean, median, mode and standard deviation
Question Statement:
Box 1 contains 15 balls out of which 3 are red. Box 2 contains 12 balls out of which 4 are red. If one ball is drawn at random from each box simultaneously, the probability of getting at least one red ball is
Options:
(A) 0.07
(B) 0.47
(C) 0.53
(D) 0.75
Official Answer Key:
B
Step-by-Step Solution & Explanation
P(no red from Box 1) = 12/15 = 0.80. P(no red from Box 2) = 8/12 = 0.6667.
P(no red at all) = 0.80×0.6667 = 0.5333.
P(at least one red) = 1 − 0.5333 = 0.4667 ≈ 0.47. Answer: (B).
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