Question

What is the probability of getting all the 5 rejected items or all the 5 accurate items from a supplier if the probability of rejection of an item is 0.92

Answer 1

Question :-

• What is the probability of getting all the 5 rejected items or all the 5 accurate items from a supplier if the probability of rejection of an item is 0.92 ?

Solution :-

we have given that, the probability of rejection of an item is 0.92 .

Let us Assume that, every item is independent to each other.

Then,

→ The probability of the five of them being rejected will be = (0.92)⁵ = {(0.92)*(0.92)*(0.92)*(0.92)*(0.92)} ≈ 0.659. (Ans.)

Now,

→ The probability of rejection is = 0.92

And,

it is a opposite event.

Therefore,

→ The probability of accurate is = 1 - 0.92 = 0.08.

So,

→ The probability of getting all five accurate is = (0.08)⁵ = {(0.08)*(0.08)*(0.08)*(0.08)*(0.08)} ≈ 0.00000328. (Ans.)