Two tetrahedral dice, with faces labelled 1, 2, 3 and 4, are thrown and the number on

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Two tetrahedral dice, with faces labelled 1, 2, 3 and 4, are thrown and the number on which each lands is noted. The score is the sum of these two numbers. Find the probability that

(a) the score is even, given that at least one die lands on a three,

(b) at least one die lands on a three, given that the score is even.

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