Question

Jacqueline is taking a quiz in her science class. Each problem has only 1 correct answer. Problem 1 has answer choices A through D and Problem 2 is a true-or-false problem. What is the probability that Jacqueline will select the correct answer for problems 1 and 2?

Answer 1

P(1 and 2) = 1/16

Explanation:

There is a 1/4 chance of selecting the correct answer to the 1st question as there is a 1/4 chance of selecting the correct answer to the 2nd question. Since both events are independent, their probabilities are multiplied. Therefore, the probability that Jacqueline will select the correct answer for problems 1 and 2 is (1/4)(1/4)=1/16