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Mathematics

Two dice are rolled simultaneously. The probability of getting the sum equal to 5 is :

  1. 16\dfrac{1}{6}

  2. 23\dfrac{2}{3}

  3. 19\dfrac{1}{9}

  4. 49\dfrac{4}{9}

Probability

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Answer

Total number of possible outcomes = 36 (i.e., (1, 1), (1, 2), (1, 3), (1, 4), (1, 5),……………(6, 5), (6, 6))

Number of favourable outcomes (Getting the sum equal to 5) = 4 ((1, 4), (2, 3), (3, 2), (4, 1))

P(Getting the sum equal to 5) = Number of favourable outcomesTotal number of possible outcomes\dfrac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}}

= 436\dfrac{4}{36}

= 19\dfrac{1}{9}

Hence, option 3 is the correct option.

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