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Two Different Dice Are Thrown Together. Find the Probability of Getting a Number Greater than 3 on Each Die. - CBSE Class 10 - Mathematics

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Question

Two different dice are thrown together. Find the probability of getting a number greater than 3 on each die.

 

Solution

When two dice are thrown simultaneously, the possible outcomes can be listed as follows:

Outcome

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

Outcomes where each die has a number greater than 3 = (4, 4), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)

Number of favourable outcomes = 9

Thus, the probability of getting a number greater than 3 on each die is `9/36=1/4`

 

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Solution Two Different Dice Are Thrown Together. Find the Probability of Getting a Number Greater than 3 on Each Die. Concept: Probability Examples and Solutions.
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