Probability that the sum of 6 dice rolls is even Question:

6 unbiased dice are tossed together. What is the probability that the sum of all the dice is an even number?

I think the answer would be 50%, purely by intuition. However, not sure if this is correct. How should I go about solving such a problem?

Using the same logic given by @Eric tessler but writing the maths behind it.
Let $P_x$ = We get an even sum on the roll of x dice and
$1 - P_x$ = We get an odd sum.
So we require $P_6$
Now $P_6 = P_5 \times $ P[even number on the last dice] + $(1 - P_5) \times$ P[odd number on the last dice]
$P_6 = P_5 \times 0.5 + (1-P_5) \times 0.5 $ 
$P_6 = 0.5 $ 
