Question: Please answer question. 3. A bag contains ve coins: two are standard (Head / Tail), but two are double-headed (Head / Head) and one is

Please answer question.

3. A bag contains ve coins: two are standard (Head / Tail), but two are double-headed (Head / Head) and one is double-tailed (Tail / Tail). When any of the coins is tossed, each side is equally likely to land face-up. (a) A coin is selected from the bag and tossed, with all coins equally likely to be selected. Compute the probability that the side that is face-down is a Head. 2 MARKS (b) After the first toss, it is observed that the visible (face-up) side is a Head. Given this information, compute the probability that the side that is face-down is a Head. 2 MARKS (c) The same selected coin is then tossed again. Compute the probability that the side that is face- down after the second toss is a Head, given the information gained after the rst toss. 2MARKS

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