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Two dice are rolled together. The probability of getting sum of numbers on the two dice as 2, 3 or 5, is ______. - Mathematics

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Question

Two dice are rolled together. The probability of getting sum of numbers on the two dice as 2, 3 or 5, is ______.

Options

  • `7/36`

  • `11/36`

  • `5/36`

  • `4/9`

MCQ
Fill in the Blanks

Solution

Two dice are rolled together. The probability of getting sum of numbers on the two dice as 2, 3 or 5, is `underline(7/36)`.

Explanation:

When two dice are tossed together,

Total possible outcomes = 62 = 36

No. of cases getting sum two: {(1, 1)}

No. of cases getting sum ·three: {(1, 2) (2, 1)}

No. of cases getting sum five:

{(1, 4) (4, 1), (2, 3), (3, 2)}

Thus, total cases getting sum 2, 3 or 5 = 7

Therefore, required probability = `7/36`

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