Question

Find the probability of getting an even sum when you toss two dice simultaneously.

Answer 1

To get an even sum, either we must get two even values or we must get two odd values.
We know that P (E) = P (O) = $\frac{1}{2}$, since both have 3 favourable outcomes out of a total of 6.
Thus, for this compound event, the sample space consists of 4 outcomes: EE, EO, OE and OO, out of which EE and OO are favourable.
Hence, the required probability is $\frac{2}{4}$ = $\frac{1}{2}$.