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Question

From a batch of 100 items of which 20 are defective, exactly two items are chosen, one at a time, without replacement. Calculate the probability that the first item chosen is defective.


A
20100
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B
20120
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C
2100
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D
none of these
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Solution

The correct option is A 20100
Let A={first item chosen is defective}, B ={second item chosen is defective}

Given:

Total number of items = 100.

NUmber of defective items = 20

To find:

the probabilities that the first item is chosen is defective

P(A)=Number of items defectivetotal number of items=20100=15

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