Question

Acme Store sells CDs, DVDs and Books. Below is a table of sales for Acme Store on twoseparate days of the week.TuesdayCDs DVDs Books TotalTotal12Wednesday 193152791120263258What is the approximate probability of Acme Stores sales being on Wednesday given that aDVD was bought?

Answer 1

From the given table, we can deduce the following:

Total number of sales on Wednesday = 32

Total number of DVD sold = 7

Total number of sales made = 58

Let's find the probability of Acme stores sales being on Wednesday given that a DVD was bought.

To find the probability, apply the formula:

$P(A|B)=\frac{P(A\text{ and B\rparen}}{P(B)}$

Let:

• P(A) be the probability that the sales is on Wednesday

,

• P(B) is the probability that a DVD was bought.

,

• P(A and B) is the probability of making a DVD sale on wednesday.

Thus, we have:

$\begin{gathered} P(A|B)=\frac{\frac{2}{58}}{\frac{7}{58}} \\ \\ P(A|B)=\frac{2}{58}*\frac{58}{7} \\ \\ P(A|B)=\frac{2}{7}=0.285\approx0.29\text{ = 29\%} \end{gathered}$

Therefore, the probability is 29%

• ANSWER:

29%