Consider an experiment where you roll a single six-sided die and observe the number of dots....

 

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Consider an experiment where you roll a single six-sided die and observe the number of dots. The sample space is S = (1, 2, 3, 4, 5, 6). However, the die is unbalanced and the probability each side appears is proportional to its number of dots. For example, on any given roll you are two times more likely to see six dots than you are to see three dots. Find the probability for each outcome in this sample space. Hint: How does the probability of each other outcome relate to P(1)? Consider an experiment where you roll a single six-sided die and observe the number of dots. The sample space is S = (1, 2, 3, 4, 5, 6). However, the die is unbalanced and the probability each side appears is proportional to its number of dots. For example, on any given roll you are two times more likely to see six dots than you are to see three dots. Find the probability for each outcome in this sample space. Hint: How does the probability of each other outcome relate to P(1)?