assuming the question is 'find the probability that the product of the dice is exactly 6' then yes correct
the question is two dice are thrown and there product is recorded,
given that one die lands on a 2 find the probability of the dice is exactly 6?
I get 1/6 = 0.1667 the reason I get this is because the other dice needs to land on a 3.
is this correct?
If you wanted to show it formally (not necessary however)
Let A and B be events with A = "The first die is 2" and B = "The product of the dice is 6", then
As you said, the other dice needs to be a 3 and hence and and hence
Perhaps I have misread the question. Is it, "find the probability that the product of the dice is exactly 6, given that one die lands on a 2"?
If that is indeed the question then the answer is .
Thinking in terms of pairs, there are eleven pair that contain a two. Of those, only two pair also contain a three.
If is the event that the product is six and is the event that one die lands on a 2, then