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Thirty-three percent of all students at a high school like beef stew. Out of 30 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?

Thirty-three percent of all students at a high school like beef stew. Out of 3030 students, 4040 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?

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Q. Thirty-three percent of all students at a high school like beef stew. Out of 3030 students, 4040 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?
  1. Calculate probability: Calculate the probability of a student liking beef stew.\newlineProbability of liking = 33%=0.3333\% = 0.33\newlineProbability of not liking (failure) = 1−0.33=0.671 - 0.33 = 0.67
  2. Find probability of failure: Since 4040 students are selected, and the probability of not liking beef stew is 0.670.67, we use this to find the probability of a failure in this binomial experiment.\newlineThis is a straightforward calculation of the probability of a single outcome, which is not liking beef stew.

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