It is given that 80 out of 100 items are non-defective. If two items are selected at random for quality check without replacement, what will the probability that both items are defective be?

\frac{195}{495}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{19}{500}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{19}{495}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{20}{495}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\frac{19}{495}$
Given:

80 out of 100 are non defective items, which means that 80 items are non-defective and 20 are defective.

Probability that both the items are defective

$= (\frac{20}{100}) . (\frac{19}{99}) = \frac{19}{495}$

Probability that both the items are defective = $\frac{19}{495}$

Suggest Corrections

Similar questions

Q. There are

4

defective items in a lot of

15

items. The items are selected one by one at random without replacement till the last defective item is drawn. The probability that the 10th item examined is the last defective item is

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.

From a batch of $100$ items of which $20$ are defective, exactly two items are chosen, one at a time, without replacement. Calculate the probabilities that both items chosen are defective

Q. There are

7

defective items in a sample of

35

items. Find the probability that an item chosen at random is non-defective.

A lot contains $10$ items out of which $3$ are defective. Three items are chosen from the lot one after another at random without replacement. Find the probability that all three are defective.

Join BYJU'S Learning Program

It is given that 80 out of 100 items are non-defective. If two items are selected at random for quality check without replacement, what will the probability that both items are defective be?

The correct option is C 19495Given: 80 out of 100 are non defective items, which means that 80 items are non-defective and 20 are defective. Probability that both the items are defective =(20100).(1999)=19495 Probability that both the items are defective = 19495