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Mathematics

Two different dice are rolled together. The probability of getting a sum of 9 is:

  1. (16)\Big(\dfrac{1}{6}\Big)

  2. (18)\Big(\dfrac{1}{8}\Big)

  3. (19)\Big(\dfrac{1}{9}\Big)

  4. (112)\Big(\dfrac{1}{12}\Big)

Probability

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Answer

When two dice are thrown simultaneously, each die has 6 possible outcomes.

Total number of outcomes = 36

Let E be the event of getting a sum of 9,

E = {(3, 6), (4, 5), (5, 4), (6, 3)}

The number of favorable outcomes to the event E = 4

∴ P(E) = Number of favorable outcomesTotal number of outcomes=436=19\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{4}{36} = \dfrac{1}{9}

Hence, option 3 is the correct option.

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