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Two dice are thrown at the same time. What is the probability that the difference between the numbers on the two dice is 2?

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\frac{2}{9}

\frac{3}{9}

\frac{4}{9}

\frac{5}{9}

answer is A.

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Detailed Solution

Given that, two dice are thrown at the same time.
The total number of possible outcomes for two dice is 36.
The favorable outcome for the difference of the number on both dice is 2 are:

1, 3

3, 1

2, 4

4, 2

3, 5

5, 3

6, 4

and

4, 6

.
The number of favorable outcomes is 8.
So, the probability

= \frac{Number of favorable outcomes}{Total number of possible outcomes}

⇒ 836 ⇒ 29

The probability is

29

.
Therefore 1 is the correct option.

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