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Consider the experiment of rolling a fair six-sided die. Let Ri be the event that the roll is i. Let Gj be the event that

Consider the experiment of rolling a fair six-sided die. Let Ri be the event that the roll is i. Let Gj be the event that the roll is greater than j. Let E be the event that the roll is even-numbered.

(a) What is the conditional probability that 3 is rolled, given that the roll is greater than 1

(b) What is the conditional probability that 6 is rolled, given that the roll is greater than 3?

(d) Given that the roll is greater than 3, what is the conditional probability that the roll is even?

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