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Question

Balls numbered 1 through 20 are placed in a bag. Three balls are drawn out of the bag without replacement. What is the probability that all the balls have odd numbers on them?

A
0.155
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B
0.105
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C
0.225
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D
None of these
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Solution

The correct option is D 0.105
There are 20 balls in a bag.
Odd numbers between 1-20 are {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}=10
The probability of getting 3 odd numbered balls without replacement:
=1020×919×818=7206840=0.105

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