Question

thirty-three percent of all students at a high school like beef stew. out of 300 students, 40 are selected randomly and asked whether they liked beef stew. if liking beef stew is a success, what is the probability of a failure for this binomial experiment?
0.33
0.40
0.57
0.67

Explanation:

Step1: Define success and failure probabilities

In a binomial experiment, the probability of success ($p$) and failure ($q$) satisfy $p + q = 1$. Here, success is liking beef stew, with $p = 0.33$ (33% as a decimal).

Step2: Calculate failure probability

Using $q = 1 - p$, substitute $p = 0.33$: $q = 1 - 0.33 = 0.67$.

Answer:

0.67