Three fair dice is rolled. Calculate the probability that the sum of the numbers on the dice are even, given that the numbers on the dice are all the same.

Here are your possible rolls

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

 

8 are even out of 16     8/16 = 50%

 

 

 

Hmmm.... I got the correct answer.....but I am not sure I did it correctly...I'd go with Melody's answer!

Three fair dice is rolled. Calculate the probability that the sum of the numbers on the dice are even, given that the numbers on the dice are all the same.

 

Could be

2 odd and 1 even   or    3 even

 

\(3C2*0.5^3+3C3*0.5^3 = 3*0.5^3+0.5^3=4*0.5^3\)

 

4*0.5^3 = 0.5

 

Lets think about this answer..

 

Can't be

2 even and 1 odd   or  3 odd

 

So 50% makes perfect sense :))