The probability (25%) that two flips of the coin will end up heads-heads or tails-tails. But the probability that the next flip will be influenced by the previous flip is 0%. Why? The next flip still has a 50-50 chance of being heads or tails.

So what?

Thinking about probabilities befuddles many people because they often pay more attention to expectations about a pattern rather than the underlying essence of the acts in question. In this case, the flipping of the coin is entirely independent of the previous flip. So, watch out for “seeing” patterns that are really only a mirage.