Question

1. statistics & probability *

a school cafeteria is considering adding 3 new items to its menu: a burrito, bbq, and a pasta dish. students in the cafeteria are asked to respond “yes,” “no,” or “maybe” when asked if they would be interested in trying these new items. the results are shown in the table below. to the nearest 0.01, what is the probability that a randomly selected guest who was asked about the pasta responded “yes”?

	burrito	bbq	pasta	total
no	47	39	18	104
maybe	47	26	44	117
total	135	150	159	444

a. 0.52
b. 0.50
c. 0.57
d. 0.61

Explanation:

Step1: Recall probability formula

The probability $P$ of an event is given by $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify favorable and total outcomes

The number of students who responded "yes" to the pasta is 97 (favorable outcomes), and the total number of students asked about the pasta is 159 (total number of outcomes).

Step3: Calculate the probability

$P=\frac{97}{159}\approx 0.61$

Answer:

D. 0.61