Mathematics 2022 JAMB Past Questions - Question 7: Two fair dice are rolled. What is the probability that both show up the same number of point?

Correct Answer

D

Explanation

To find the probability that both dice show the same number of points, we need to determine the total number of possible outcomes and the number of favorable outcomes.When rolling two fair dice, each die has 6 possible outcomes (numbers 1 to 6). Since there are two dice, the total number of possible outcomes is 6 * 6 = 36.Now, let's consider the favorable outcomes, which are the outcomes where both dice show the same number of points. There are 6 possible outcomes where both dice show the same number: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6).Therefore, the number of favorable outcomes is 6.The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes. So, the probability that both dice show the same number of points is:Probability = Number of favorable outcomes / Total number of possible outcomes            = 6 / 36            = 1 / 6Hence, the probability that both dice show the same number of points is 1/6.