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6. Suppose you select a string of five bits at random. Suppose event A is that the string begins with 1, event B is that

6. Suppose you select a string of five bits at random. Suppose event A is that the string begins with 1, event B is that the string ends with 1, and event C is that the string has exactly three 1s. (a) What is the probability of event A given event C? (b) Determine whether events B and C are independent.

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