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

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{48}{165}\\)

b. \\(\frac{90}{27225}\\)

c. \\(\frac{90}{165}\\)

d. \\(\frac{48}{27225}\\)

e. \\(\frac{48}{165}\\) (note: there may be a typo in the original, assuming its a repeat or similar to a for the option format)

Explanation:

Step1: Identify favorable outcomes

The number of shirts that are red and medium - sized is 48 (from the table, the cell where Shirt Color is Red and Size is Medium).

Step2: Identify total number of outcomes

The total number of shirts is 165 (from the Total row and Total column of the table).

Step3: Calculate probability

The probability \( P \) of an event is given by the formula \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). So the probability that a randomly picked shirt is red and medium - sized is \( \frac{48}{165} \).

Answer:

A. \(\frac{48}{165}\)