Consider an unfair 6-sided die with the following properties: the probability of rolling a 2 is twice the probability of rolling a 1, the probability of rolling a 6 is three times the probability of rolling a 1, and the probabilities of rolling a 2, a 3, a 4, or a 5 are all the same. What is the probability of rolling a 1? Justify your answer.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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Consider an unfair 6-sided die with the following properties: the probability of rolling a 2 is twice the probability of rolling a 1, the probability of rolling a 6 is three times the probability of rolling a 1, and the probabilities of rolling a 2, a 3, a 4, or a 5 are all the same. What is the probability of rolling a 1? Justify your answer.
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