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Someone flips seven fair coins describe the state space for

Question: 1. Someone flips seven fair coins. Describe the state space for this situation. Define a random variable corresponding to the number of heads that show when the coins land. What is the probability that this random variable has value 3?

2. You and a friend are asked to each choose a number 1 to 8. Describe the state space for this situation. What is the probability that you each choose the same number? What is the probability that your numbers are one apart?

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