Final answer:
The probability of selecting a red medium shirt from a batch of 165 shirts is 48/165, based on the data provided in the table.
Step-by-step explanation:
The question asks for the probability of selecting a red shirt of size medium from a batch of 165 shirts. We are given a table with the distribution of shirt colors and sizes. To find the probability of picking a red medium shirt, we need to look at the specific number of red medium shirts and divide it by the total number of shirts available. According to the table, there are 48 red medium shirts.
The formula for probability is:
Probability of an event = Number of favorable outcomes / Total number of outcomes
So, the probability of picking a red medium shirt is:
48/165