Mathematics 2015 JAMB Past Questions - Question 44: Two fair dice are thrown at once.What is the probability of getting same face?

Correct Answer

D

Explanation

1 2 3 4 5 61 | (1,1)2 | (2,1)(2,2)3 | (3,1)(3,3)4 | (4,1)(4,4)5 | (5,1)(5,5)6 | (6,1)(6,6)Pr(same face )=6/36=1/6When two fair dice are thrown at once, each die has 6 faces numbered 1 through 6. To find the probability of getting the same face on both dice, we can count the number of favorable outcomes and divide it by the total number of possible outcomes.The favorable outcomes are when both dice show the same number. 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).The total number of possible outcomes when throwing two dice is \(6 \times 6 = 36\), as each die has 6 possible outcomes and the total number of outcomes is the product of the number of outcomes for each die.Therefore, the probability of getting the same face on both dice is:\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{6}{36} = \frac{1}{6} \]So, the probability of getting the same face on both dice is \(\frac{1}{6}\) or approximately 16.67%.