Thread: conditional probability question

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?

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

Thank you;
Does the probability stay the same if its the second dice that shows a 2?

Originally Posted by anthonye

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?

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

Thank you Plato thats exactly what I needed to know.