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 Probability of H=2/3, probability of T=1/3.

All 16 outcomes with their probabilities:

HHHH=16/81

HHHT, HHTH, HTHH, THHH=8/81

HHTT,HTHT,HTTH,THHT,THTH,TTHH=4/81

HTTT,THTT,TTHT,TTTH=2/81

TTTT=1/81

a) Probability of exactly 2 tails: 6×4/81=24/81=8/27.

b) Probability of at least 3 heads: 4×8/81+16/81=48/81=16/27.

by Top Rated User (646k points)

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