Question

a box contains 12 items out of which 4 are defective. A person select 6 items from the box the expected number of 6 defective ite.ms out of his selected items

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Answer 1

Answer:

4

Step-by-step explanation:

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Answer 2

Question :

A box contains 12 items out of which 4 are defective. A person select 6 items from the box . Find the expected number of defective items out of his selected items.

Answer :

The expected number of defective items out of his selected items is 2.

Given :

Total no.of items = 12

No.of defective items = 4

No.of items selected by the person = 6

To find :

The expected number of defective items out of his selected items.

Solution :

No.of favourable outcomes = No.of defective items = 4

total no.of outcomes = Total no.of items = 12

We know that,

Probability of a item being defective (P) = No.of favourable outcomes / total no.of outcomes

= 4/12

= 1/3

No.of items he picked = 6

Now, The expected number of defective items out of his selected items p.x = 1/3 × 6

= 2

Hence, The expected number of defective items out of his selected items is 2.

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