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What is the probability that on 4 flips of a coin 3 will be heads and1 will be tails?
There are 16 permutations of a coin tossed 4 times. They are ...
HHHH - HHHT - HHTH - HHTT
HTHH - HTHT - HTTH - HTTT
THHH - THHT - THTH - THTT
TTHH - TTHT - TTTH - TTTT
... and the permutations with only one tail are bolded. There are 4, so the probability of flipping a coin 4 times and getting only 1 tail is 4 in 16, or 1 in 4, or 0.25.
The coin does not have a memory therefore the probability is always 50/50.
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