Question

You roll 2 dice. What is the probability of getting a 3 or a 6 on the second die, given that you rolled a 1 on the first die

Answer 1

i got 2/36

Answer 2

2/6

Answer 3

but i can see thats wrong

Answer 4

thanks

Answer 5

The reason why the answer is 2/6 is because you were asked what the probability was of getting a particular result on one particular die. Hence the result on the second dice is independent of the result on the first. You could roll any number on the first dice, and the probability of getting a 3 or 6 on the second dice is still 2/6.

Now if you asked what the probability of getting a 1 on the first dice AND a 3 or 6 on the second then the answer would be 2/36 as you originally got.