If a pair of standard dice are rolled, what
is the probability that one die shows a 6 but not both
of them?

5/18 (my probability knowledge is rusty but should be right)

Step-by-step explanation:

P1 = die 1  shows a 6

P2 = die 2  shows a 6

there are 36 possible events 10 are good (one die or the other show 6 but not both)

P1 or P2 but not P1 and P2 = 10/36 = 5/18

create a 6X6 matrix and you will see it

1

step-by-step explanation:

it's the only multiple of both and the least