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Solution

• Two dice are thrown simultaneously

• The probability that the sum of the two numbers that turn up < 11

• The probability that the sum of the two numbers that turn up < 11 = 1 – (the probability that the sum = 11 + the probability that the sum = 12)
• Therefore, the probability that the sum of the two numbers that turn up < 11 =\(1 – (\frac{2}{6*6} + \frac{1}{6*6}) = 1 - \frac{3}{36} = 1 - \frac{1}{12} = \frac{11}{12}\)

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