Final answer:
The probability that a customer will be seated at a round table or by the window is calculated by adding the number of round tables to tables by the window, subtracting double-counted round tables by the window, and dividing by the total number of tables. The correct answer is 45/60 or 3/4.
Step-by-step explanation:
To determine the probability that a customer will be seated at a round table or by the window at the restaurant, we need to calculate the total number of favorable outcomes (either round or by the window) and then divide by the total number of possible outcomes (total tables).
The total number of round tables is 38, and those by the window are 13. However, we must not double-count the 6 round tables that are also by the window. So, we calculate the number of favorable outcomes by adding the number of round tables to those by the window and then subtracting the round tables by the window (since they are included in both categories).
Favorable outcomes = Number of round tables + Number of tables by the window - Number of round tables by the window
Favorable outcomes = 38 + 13 - 6 = 45
Now we calculate the probability by dividing the favorable outcomes by the total number of tables:
Probability = Favorable outcomes / Total number of tables
Probability = 45 / 60
The probability is then simplified:
Probability = 3/4 or 0.75 which is option B.
Therefore, the correct option is B. 45/60.