When the roulette has hit 5 reds why shouldn't I bet to black?

Lots of people have trouble with this. If you bet before any spins on six in a row, the chance of winning is 1/2^6=1/64. But having seen the five reds, as you say, the chances are 1/2 each on red and black for the next spin. It is also true for any specific series of six spins, at the start the chance of that series is 1/64. If you were to bet on RBBRRB, that is also 1/64. Now that you have seen five reds, there are only two series of six that are possible: RRRRRR and RRRRRB. They each started out 1/64 and are now each 1/2.

Hope this helps

There's an analogy that I like. Suppose I'm afraid to take planes as it's possible that some crazy terrorist brings a bomb onto the plane. Now it's really improbable that there are two bombs on the plane that I'm going to take. So I'll bring a bomb myself (which I of course won't detonate); then it's virtually impossible that anything happens. Well ...

I don't know, but maybe this helps.

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