[Counting and Probability] Consider the experiment of flipping a coin four times. a. Using a tree, determine...

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[Counting and Probability] Consider the experiment of flipping acoin four times.
a. Using a tree, determine the probability of one or two tails,with a biased coin with P(H) = 2/3. Compare to the probability withan unbiased coin
b. [Bayesâ€™ Rule] Using the results of the part a suppose we havetwo coins, one unbiased, and a biased coin with P(H) = 2/3. Weselect a coin at random, flip it three times, and observe eitherone or two tails. What is the probability we started with thebiased coin?
[Hint: use a two-level tree, with the second level using theprobabilities from a.]

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3.6 Ratings (272 Votes)

AFirst create tree for four tosses as given belowSoOutcomes for both coin be likeHHHHHHHTHHTHHTHHTHHHHHTTHTHTHTTHTHTHTTHHTHHTTHHHTTHTTHTTHTTTTTTTNow for biased coinThere are 6 outcomes with 2tails while 4 outcomes with 1tailAs each toss is independent hence probability of getting 2 headsand two tails is 13231323481Since there See Answer

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