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Question

A box contains 6 black and 4 white balls. Two balls are drawn at random from it, the probability that both the balls are black is _____.

A
1/2
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B
1/3
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C
2/3
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D
1/4
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Solution

The correct option is B 1/3

Probability shows the relationship between two variables in the form of ratio, percentage or proportion where there the chances of occurrence of one variable is expressed in terms of the other variable which is usually sample space.

The sample space for the event is 10C2 = 45

Let the required event be E ( getting 2 black balls)

n(E) = 6C2 = 15

Therefore, P( getting a 2 black balls) = n(E)/S

= 15/45

= 1/3


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