Rolling a die. Figure 18.5 displays several assignments of probabilities to the six faces of a die. We can learn which assignment is actually correct for a particular die only by rolling the die many times. However, some of the assignments are not legitimate assignments of probability. That is, they do not obey the rules. Which are legitimate and which are not? In the case of the illegitimate models, explain what is wrong.

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Probability Outcome Model 1 Model 2 Model 3 Model 4 1/7 1/3 1/3 1 1/7 1/6 1/6 1 1/7 1/6 1/6 2 1/7 0 1/6 1 1/7 1/6 1/6 1 1/7 1/6 1/6 2 Figure 18.5 Four probability models for rolling a die, for Exercise 18.7.