Question

Let S be the event that a randomly chosen store is having a sale. Let M be the event that a randomly chosen store has marked up their prices in the last six months. Identify the answer which expresses the following with correct notation: Given that the store is having a sale, the probability that a randomly chosen store has marked up their prices in the last six months.

Answer 1

Prob(M/S)

Explanation:

If we have two events, let's call them A and B, the probability of A given B can be write as:

Prob(A/B)

Then, if S is the event that a randomly chosen store is having a sale and M is the event that a randomly chosen store has marked up their prices in the last six months, we can say that:

Given that the store is having a sale, the probability that a randomly chosen store has marked up their prices in the last six months is equal to given S what is the probability of M or what is the probability of M given S, so we can write that as:

Prob(M/S)