Name /or ID Question 8. (CIRCUS LOVERS In a circus show, a clown calls a person

Question

Name /or ID Question 8. (CIRCUS LOVERS In a circus show, a clown calls a person up from the audience, and shows him that he is putting one coin, two double-tailed coins, and three headed coins into an empty hat. The clown asks him to select one coin at random and toss it double- on heads? is the probability that the tossed coin lands Fig. Clown and audience (b) Without looking at the output of the toss, the clown tells the audience that the tossed coin landed on heads. What is the probability that it was the fair coin that was tossed?

Explanation / Answer

P(choosing Fair coin ) = 1/6

P(choosing double tail coin) = 2/6

P(choosing double head coin) = 3/6

a)

P(chosen coin lands on heads) = 0.5*1/6+3/6 = 0.58

b)

P(fair coin tossed given that it landen on head) = (0.5*1/6)/0.58 = 0.14

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