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?

Re: conditional probability question

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

Re: conditional probability question

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

Re: conditional probability question

Thank you;

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

Re: conditional probability question

Re: conditional probability question

Thank you Plato thats exactly what I needed to know.