Probability that you selected the 6 sided die

[vernal zodiac]

I am unsure how to solve the following problem:

We have a 4 sided die, a 6 sided die and a 12 sided die. We roll a die twice and get 1 and 5. What's the probability that we rolled the 6 sided die?

Assumptions:

• picking a die is equiprobable

[vernal zodiac]

I think the problem to solve is P(pick 6 | got no. 1 and 5)

working that out i came to:

P(pick 6-sided AND got no. 1 and 5) / P(got no. 1 and 5)

but that's as far as i got, not sure how to get the probabilities to fill in the formula :/

[vernal zodiac]

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