Multiple choice

Two fair dice are thrown together. The probability that the number $5$ does not appear on any of them is

  1. $\displaystyle\frac{1}{36}$
  2. $\displaystyle\frac{5}{36}$
  3. $\displaystyle\frac{11}{36}$
  4. $\displaystyle\frac{25}{36}$
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D Correct answer
Explanation

Probability of 5 appearing on one die is 1/6. Probability of not appearing is 5/6. For two dice, probability of 5 not appearing on either is (5/6) * (5/6) = 25/36.

AI explanation

When two fair dice are thrown, the total number of possible outcomes is 36. If the number 5 does not appear on either die, each die has 5 allowed outcomes (1, 2, 3, 4, 6), yielding 25 successful combinations. Using the fundamental principle of counting, the required probability is 25/36.

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