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i flip one fair coin until I get 4 tails( total, not in a row) or...

i flip one fair coin until I get 4 tails( total, not in a row) or 3 heads ( total, not in a row).
(a) what is the maximum number of flips for this game?
(b) what is the probability the game requires exactly 4 flips?
(c) what is the probability the 3 heads occur before the 4 tails?
(d) what is the probability if I filp 10 fair cions at least 8 are heads?
Math   Statistics-And-Probability   
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