Mathematics

Two dice are rolled together. What is the probability of getting an odd number as sum ?

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Total number of possible outcomes = 36 (i.e., (1, 1), (1, 2), (1, 3), (1, 4), ……………..(6, 4), (6, 5), (6, 6))

Number of favourable outcomes (Getting an odd number as sum) = 18 ((1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5),……………..,(6, 3), (6, 5))

P(Getting an odd number as sum) = $\dfrac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}}$

= $\dfrac{18}{36}$

= $\dfrac{1}{2}$

Hence, the probability of getting an odd number as the sum is $\dfrac{1}{2}$ .

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