Multiple choice

If two dice are tossed, then the probability of throwing a total of ten or more is:

  1. $\displaystyle\frac{1}{36}$
  2. $\displaystyle\frac{1}{6}$
  3. $\displaystyle\frac{3}{36}$
  4. $\displaystyle\frac{2}{6}$
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B Correct answer
Explanation

Total outcomes for two dice = 36. Outcomes with sum 10 or more: (4,6), (5,5), (6,4), (5,6), (6,5), (6,6). There are 6 such outcomes. Probability = 6/36 = 1/6.

AI explanation

When two dice are tossed, the total number of possible outcomes is 6 times 6, which equals 36. The combinations that yield a sum of ten or more are (4, 6), (5, 5), (6, 4), (6, 5), (5, 6), and (6, 6), providing exactly 6 favorable outcomes. The probability is the number of favorable outcomes divided by the total outcomes, giving 6/36, which simplifies to 1/6.

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