King mattress purchases sleep-n-air mattresses from three different distributors. the probability of getting a defective mattress from distributor a, b, or c is 0.18, 0.12, and 0.54, respectively. assume an equal probability of making a purchase from each distributor a, b, or
c. if king mattress sells a defective mattress, what is the probability that it came from distributor a?

Using conditional probability, it is found that there is a 0.2143 = 21.43% probability that it came from distributor a.

Conditional Probability

In which

In this problem:

The percentages of defectives are:

Hence:

The probability of being defective and from distributor A is:

Hence, the conditional probability is:

0.2143 = 21.43% probability that it came from distributor a.

A similar problem is given at link

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: