Question

A jewelry supplier has a supply of earrings which are 10% platinum. A store owner orders five sets of earrings from the supplier. If the supplier selects the pairs of earrings at random, what is the chance that the jewelry store gets exactly two sets of platinum pairs

Answer 1

Answer: Our required probability is 0.0729.

Explanation:

Since we have given that

Number of sets of earrings from the supplier = 5

Percentage of them is platinum = 10%

Here, p = 10% = 0.10

q = 1-0.10 = 0.90

We need to find the probability that the jewelry store gets exactly two sets of platinum pairs.

So, x = 2

We will use "Binomial distribution":

So, it becomes,

`P(X=2)=^5C_2(0.10)^2(0.9)^3\\\\P(X=2)=0.0729`

Hence, our required probability is 0.0729.