Question: On the page: https://www.coursehero.com/tutors-problems/Statistics-and-Probability/38399497-Probability-Homework-Problem-1-We-draw-the-top-7-cards-from-a/ We have the problem: Problem 2 Alice and Bob have 2n+1 coins, each coin with probability of heads equal to 1/2.

On the page: https://www.coursehero.com/tutors-problems/Statistics-and-Probability/38399497-Probability-Homework-Problem-1-We-draw-the-top-7-cards-from-a/

We have the problem:

Problem 2 Alice and Bob have 2n+1 coins, each coin with probability of heads equal to 1/2. Bob tosses n+1 coins, while Alice tosses the remaining n coins. Assuming independent coin tosses, show that the probability that after all coins have been tossed, Bob will have gotten more heads than Alice is 1/2.

How would you solve this problem using only bayes theorem and/or law of total probability and not using binomial distribution?

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