Answer:
0.6 = 60% probability that a randomly selected student from the survey would order mushroom, given that they order broccoli
Explanation:
Conditional probability formula:
We use the conditional probability formula to solve this question. We want to find the probability of an event B happening, given that event A has happened. This probability is:
P(B|A) = P(A and B)/P(A)
In which P(A and B) is the number of outcomes in which both events happened, and P(A) is the number of outcomes in which event A happened.
In this question:
20 students ordered Broccoli, so P(A) = 20.
12 ordered broccoli with mushroom, so P(A and B) = 12.
Then
P(B|A) = P(A and B)/P(A) = 12/20 = 0.6
0.6 = 60% probability that a randomly selected student from the survey would order mushroom, given that they order broccoli