In a multiple-choice question, a student is asked to match 3 dates withIn a multiple-choice question, a student is asked to match 3 dates with 3 events. What is the probability that sheer guessing will produce 3 correct answers? g 3 events.

P = 1/6 or 0.1667

Step-by-step explanation:

Let A, B and C be the three events and 1,2 and 3 be the three dates. The sample space for this problem is:

{A1, B2, C3} {A1, B3, C2} {A2, B1, C3} {A2, B3, C1} {A3, B1, C2} {A3, B2, C1}

There are six possible outcomes and since there is only one correct answer, the possibility of guessing all 3 questions right is:

P = 1/6

P = 0.1667