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Q. When a pair of dice is rolled (one is yellow and the other is green), then

Probability

Solution:

The sample space is given by $S = \{(x, y) : x$ is the number on the yellow die and $y$ is the number on the green die$\}$. The number of elements of this sample space is $6 \times 6 = 36$ and the sample space is given below :
$\{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2)$,
$(2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4)$,
$(3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)$,
$(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2)$,
$(6, 3), (6,4), (6, 5), (6, 6)\}$.