If two different dice are rolled together, the probability of getting an even number on both dice is

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Possible outcomes on rolling the two dice are given below:
{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), 
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Total number of outcomes = 36

Favourable outcomes are given below:
{(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)}

Total number of favourable outcomes = 9

∴ Probability of getting an even number on both dice `="Total numbers of favourable outcomes"/"Total number of outcomes"=9/36=1/4`

Hence, the correct option is D.

Possible outcomes on rolling the two dice are:
{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
Total number of outcomes = 36
Favourable number of outcomes are:
{(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)}.
Total number of favourable outcomes = 9
Probability of getting an even number on both dice = 9 / 36 = 1 / 4

What is the probability of getting an even number on both dices?

Answer: The probability of getting an even number on the first side when a pair of dice is thrown once is 1/2.

What is the probability that rolling 2 dice will result in 2 even numbers?

P(E)=636=16. Show activity on this post. Probability of two different even numbers = Probability of both even * Probability of both different given they are both even. Probability of both even is 12×12=14.

What is the probability of getting an even number when a dice is rolled once?

The probability of getting a even number =36=12. Q. An unbiased dice is thrown.

How many ways can you roll an even number with two dice?

Out of 36 possible rolls, the ones that the sum of the dice is even are those in which both dice are either even or odd. There are 3 odd numbers on the first die, and for each of these, there are 3 odds on the second – resulting in 9 possible odd/odd combinations. Similarly, there are 9 ways to get both even numbers.