Question

if two dice are thrown together , what is the probability of getting an even number on one die and odd number on the other die ?

Answer 1

1/2

Explanation:

the probability of the die rolling an even number = the probability of the die rolling an odd number =1/2

Let us name these 2 dice as A and B

One die can roll an even and the other can roll an odd, in the following cases

A rolls even and B rolls odd. The probability of this happening =1/2×1/2

A rolls odd and B rolls even. The probability of this happening =1/2×1/2

∴ The required probability

=1/2×1/2+1/2×1/2

=1/4+1/4

=1/2