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# Two Different Dice Are Rolled Together. Find the Probability of Getting the Sum of Numbers on Two Dice to Be 5. - CBSE Class 10 - Mathematics

ConceptProbability Examples and Solutions

#### Question

Two different dice are rolled together. Find the probability of getting the sum of numbers on two dice to be 5.

#### Solution

 1 2 3 4 5 6 1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) 2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) 3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) 4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) 5 (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) 6 (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

∴ Total number of possible outcomes = 36

We know

Probability of an event"Favourable number of outcomes"/"Total number of outcomes"

The outcomes favourable to the event 'the sum of the numbers on two dice to be 5' denoted by E are (1, 4), (2, 3), (4, 1) and (3, 2).

Total number of favourable outcomes = 4

:.P(E)=4/36=1/9

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Solution Two Different Dice Are Rolled Together. Find the Probability of Getting the Sum of Numbers on Two Dice to Be 5. Concept: Probability Examples and Solutions.
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