How would I go about doing a probability distribution graph for this?

https://drive.google.com/file/d/0B2THXzLyF5_JN0JaZEY1ZmYtMEk/edit?usp=sharing

Question

How would I go about doing a probability distribution graph for this?

https://drive.google.com/file/d/0B2THXzLyF5_JN0JaZEY1ZmYtMEk/edit?usp=sharing

anonymous · Answer

Are you familiar with the binomial distribution?

anonymous · Answer

Also, are you sure about those probabilities? Maybe you could give us a bit of insight about the problem you're answering.

anonymous · Answer

We're supposed to create a game, and she wants us to create "graph of the theoretical distribution of all possible game outcome" as a part of the assignment. My game is three dice, the person  pays $1 for an opportunity to roll all three, the goal is to roll one three, or two threes, or three threes (the payouts are on the chart). I'm not entirely sure about probabilities being correct to be honest... Any help, of any kind would be appreciated

anonymous · Answer

The probabilities look right to me. Suppose $X$ is the random variable for the number of threes that you roll, then you can draw up a histogram/frequency distribution:
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