Multiple choice

A die is thrown twice. Find the probability of getting a total of $9$.

  1. $\dfrac{1}{3}$
  2. $\dfrac{1}{6}$
  3. $\dfrac{1}{9}$

  4. none
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C Correct answer
Explanation

When two dice are thrown, there are 36 possible outcomes. The pairs that sum to 9 are (3,6), (4,5), (5,4), and (6,3). There are 4 favorable outcomes. The probability is 4/36 = 1/9.

AI explanation

Using the fundamental principle of counting, the total number of outcomes when a die is thrown twice is 36. The favorable outcomes for getting a sum of 9 are (3, 6), (4, 5), (5, 4), and (6, 3), giving us 4 possibilities. Therefore, the required probability is 4/36, which simplifies to 1/9. The result is 1/9.

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