GATE ME 2018 Set 1 — Question 11
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Engineering Mathematics → Probability → Conditional Probability
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Question
Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is
Correct answer
(B) 1/55
Solution
Total number of balls = .
Number of red balls = .
Since the balls are drawn without replacement, the probability that all three are red is calculated as follows:
Number of red balls = .
Since the balls are drawn without replacement, the probability that all three are red is calculated as follows:
1.Probability that the first ball is red:
2.Probability that the second ball is red given the first was red:
3.Probability that the third ball is red given the first two were red:
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