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

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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