A biased 4-sided die is numbered 1, 3, 5 and 7. The probability of obtaining each score

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A biased 4-sided die is numbered 1, 3, 5 and 7. The probability of obtaining each score is proportional to that score.

a. Find the expected number of times that the die will be rolled, up to and including the roll on which he first non-prime number is obtained.

b. Find the probability that the first prime number is obtained on the third roll of the die.

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