A die has been loaded so that the probability of rolling any even number is 2/9 and

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A die has been "loaded" so that the probability of rolling any even number is 2/9 and the probability of rolling any odd number is 1/9. What is the probability of
(a) Rolling a 5?
(b) Rolling a 5, given that an even number is rolled?
(c) Rolling a 5, given that an odd number is rolled?
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