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Question

There are 5 green, 6 black and 7 white balls in a bag. A ball is drawn at random from the bag. Find the probability that it is not white.


A

1118

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B

718

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C

23

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D

518

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Solution

The correct option is A

1118


Given,
Number of green balls = 5
Number of black balls = 6
Number of white balls = 7
Total number of outcomes = 5 + 6 + 7 = 18
There are 18 balls out of which 11 are not white.
Number of favourable outcomes = 11

Probability of an event, P(E)=Number of favourable outcomesTotal number of outcomes
P( ball drawn is not white) = 1118

Probability that the ball drawn is not white is 1118 .

Alternate Method:
P (ball drawn is white) = 718
By complementary event formula,
P( ball drawn is white) + P( ball drawn is not white) = 1
P( ball drawn is not white)
=1P( ball drawn is white)
=1718=1118
Probability that the ball drawn is not white is 1118.


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