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# Q13. The probability that Ryan will roll a three using a standard die is 1/6. Let Y = number of times that Ryan has

## Q13. The probability that Ryan will roll a three using a standard die is 1/6. Let Y = number of times that Ryan has to roll a die in order to roll the first three. What is the expected value for Y? A. 3 B. 6 C. 1 D. 2 E. 4 Q14. The probability that Ryan will roll a three using a standard die is 1/6. Let Y = number of times that Ryan has to roll a die in order to roll the first three. What is the probability that Y will between 2 and 4 (2, 3 or 4)? A. 0.5177 B. 0.0965 C. 0.3511 D. 0.9993 E. Donut Q15. The probability that Ryan will roll a three using a standard die is 1/6. Let Y = number of times that Ryan has to roll a die in order to roll the first three. What is the probability that Y will be at least equal to 5? A. 0.4823 D. 0.3412 B. 0.5981 C. 0.000643 E. 0.7661 Q16. The probability that Ryan will roll a three using a standard die is 1/6. Let Y = number of times that Ryan has to roll a die in order to roll the first three. What is the probability that Y will be at most equal to 3?

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