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Two marbles are drawn successively from ...

Two marbles are drawn successively from a box containing 3 black and 4 white marbles. Find the probability that both the marbles are black, if the first marble is not replaced before the second draw.

Text Solution

Verified by Experts

Probability of drawing first marble black ` = 3/7`
Now, there are `2` black marbles and `7` total marbles.
`:.` Probability of drawing second marble black ` = 2/6`
`:.` Probability of drawing both marbles black `= 3/7**2/6 = 1/7`
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