Multiple choice

Two dice are thrown simultaneously. Find the probability of getting a total of at least $10$.

  1. $\dfrac{5}{6}$
  2. $\dfrac{1}{6}$
  3. $\dfrac{1}{3}$

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The outcomes with a total of at least 10 are (4,6), (5,5), (6,4), (5,6), (6,5), and (6,6). There are 6 such outcomes out of 36 total, resulting in a probability of 6/36 = 1/6.

AI explanation

The sample space for throwing two dice has 36 outcomes. The outcomes that give a total of at least 10 are (4,6), (5,5), (5,6), (6,4), (6,5) and (6,6), totaling 6 favorable events. The required probability is 6 divided by 36, which simplifies to 1/6.

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