Multiple choice

Two dice are thrown. The number of sample points in the sample space when six does not appear on any one side is

  1. $11$
  2. $30$
  3. $18$
  4. $25$
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D Correct answer
Explanation

Each die has 5 faces without a six (1, 2, 3, 4, 5). Total outcomes for two dice without a six = 5 * 5 = 25.

AI explanation

The total sample space for rolling two standard dice is 36 ordered pairs. If a six does not appear on either die, each die can only show one of the five numbers 1, 2, 3, 4, or 5. By the fundamental principle of counting, the number of such sample points is 5 multiplied by 5, yielding 25.

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