Multiple choice

How many outcomes are possible when two dice are rolled and both the dice show the same number?

  1. 1

  2. 6

  3. 9

  4. 12

  5. 36

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When two dice are rolled, there are 36 total outcomes. The outcomes where both dice show the same number are (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6). There are 6 such outcomes.

AI explanation

When two dice are rolled, the sample space consists of 36 total outcomes, represented as pairs from (1, 1) to (6, 6). The condition that both dice show the same number means we are looking for doublets, which are the outcomes (1, 1), (2, 2), (3, 3), (4, 4), (5, 5) and (6, 6). Counting these specific identical pairs gives exactly 6 possible outcomes.