assuming the question is 'find the probability that the product of the dice is exactly 6' then yes correct
Hi;
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