Question

answer the question based on the data in the table.
15
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 { 3 8 } { 1 6 5 } \\)
b. \\( \frac { 4 8 } { 2 2 5 } \\)
c. \\( \frac { 3 0 } { 1 6 5 } \\)
d. \\( \frac { 3 0 } { 1 0 5 } \\)

Explanation:

Step1: Determine the number of favorable outcomes

The number of red - medium shirts is \(48\) (from the table).

Step2: Determine the total number of outcomes

The total number of shirts is \(165\) (from the table).

Step3: Calculate the 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, \(P = \frac{48}{165}\).

Answer:

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