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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

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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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