# Mathematical formula to calculate the probability to have 3 non-consecutive heads (or 3 non-consecutive tails) in 4 tosses of a fair coin.?

How can you calculate the probability to have 3 non-consecutive heads (or 3 non-consecutive tails) in 4 tosses of a fair coin? The 3 heads (or 3 tails) should

not be consecutive, i.e. you should have 1 tail

(or 1 head

) in the first 3 tosses.

### 2 Answers

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- MorningfoxLv 73 months ago
In four tosses, there are 16 possible outcomes. Just list them all, and count the ones that satisfy your rules.

HHHH

HHHT

...

TTTT

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