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Mathematics

In a simultaneous throw of two dice, what is the probability of getting a doublet?

  1. (14)\Big(\dfrac{1}{4}\Big)

  2. (23)\Big(\dfrac{2}{3}\Big)

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

  4. (37)\Big(\dfrac{3}{7}\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 doublet,

E = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}

The number of favorable outcomes to the event E = 6

∴ P(E) = Number of favorable outcomesTotal number of outcomes=636=16\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{6}{36} = \dfrac{1}{6}

Hence, option 3 is the correct option.

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