Multiple choice

A dice is rolled twice. What is the probability that the sum of the numbers on the two faces is $5$?

  1. $\dfrac 3{13}$
  2. $\dfrac 4{13}$
  3. $\dfrac 6{13}$
  4. $\dfrac 19$
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D Correct answer
Explanation

There are 36 total outcomes when rolling two dice. The pairs that sum to 5 are (1,4), (2,3), (3,2), and (4,1). There are 4 such outcomes, so the probability is 4/36 = 1/9.

AI explanation

Rolling a die twice creates a sample space of 36 equally likely outcomes. To obtain a sum of 5, the favorable outcomes are (1, 4), (2, 3), (3, 2), and (4, 1), totaling 4 ways. Using the classical probability formula, the probability is 4/36, which simplifies to 1/9.

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