Multiple choice

Find the probability of getting a sum of the numbers on them is $7$, when two dice are rolled at a time.

  1. $\cfrac 15$
  2. $\cfrac 16$
  3. $\cfrac 17$
  4. $\cfrac 18$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When two dice are rolled, there are 36 possible outcomes. The pairs that sum to 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). There are 6 such outcomes. The probability is 6/36 = 1/6.

AI explanation

When two dice are rolled, the total number of possible outcomes in the sample space is 36. To get a sum of 7, the favorable outcomes are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2) and (6, 1). The total number of favorable outcomes is 6. The probability is 6 divided by 36, which simplifies to 1 divided by 6.