You roll ten 6sided dice Each die has probability 13 of prod

You roll ten 6-sided dice. Each die has probability 1/3 of producing an odd number on a roll.

          If you roll all ten dice, what is the probability that their sum is an odd number?

Solution

each die has a probability of producing an odd number is 1/3

if we roll 2 dice then half of the times sum will be even and half of the time even

same will be true also in the case of rolling dice 10 times

the probility of coming an odd sum will be 0.5