Question

answer the question based on the data in the table.

shirt color	size
red	42	48	90
blue	35	40	75
total	77	88	165

11
select the correct answer.
if you pick a shirt at random from the given batch of 165 shirts, what is the probability that it is red and the size is medium?
a. \\(\frac{90}{165}\\)
b. \\(\frac{90}{27225}\\)
c. \\(\frac{88}{165}\\)
d. \\(\frac{48}{27225}\\)
e. \\(\frac{48}{165}\\)

Explanation:

Step1: Identify target shirt count

From the table, the number of red and medium shirts is 48.

Step2: Identify total shirt count

The total number of shirts is 165.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$ = $\frac{48}{165}$

Answer:

E. $\frac{48}{165}$