Jim and his brother Charlie cannot agree on who should get the last ice cream sandwich. They decide to settle their dispute on the basketball court, where they assume the following probabilities to be true:
- P(Jim makes his first free throw, with no previous practice shots) $= \dfrac{2}{5}$
- P(Jim makes a free throw given that he made his previous free throw) $= \dfrac{7}{10}$
- P(Jim makes a free throw given that he missed his previous free throw) $= \dfrac{11}{30}$
**Which of the following are fair methods for making a decision?**
(Consider a system to be fair when the probabilities of each event are equal.)
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