Question

Of the coffee makers sold in an appliance​ store, 4.0% have either a faulty switch or a defective​ cord, 2.5% have a faulty​ switch, and​ 0.1% have both defects. What is the probability that a coffee maker will have a defective​ cord? Express the answer as a percentage.

Answer 1

Answer: Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.

Explanation:

Since we have given that

Let A be the event of getting a faulty switch.

Let B be the event of getting a defective cord.

Here, P(A∪B) = 4% = 0.04

P(A∩B) = 0.1% = 0.001

P(A) = 2.5% = 0.025

We need to find P(B):

As we know that

`P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\0.04=P(A)+0.025-0.001\\\\0.04=P(A)+0.024\\\\P(A)=0.04-0.024=0.376`

Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.