surya must be new here...
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p(3h/2h) = p(3h,2h)/p(2h) p(3h,2h) = p(3h) = (1/3)1 + (1/3)(1/2)(1/2)(1/2) p(2h)= (1/3)1 + (1/3)(1/2)(1/2)
where the 1/3 is prob of each coin and 1/2 is prob of head and tail. answer is 9/10 according to me.