Eli5: If I flip a coin 10x what’s the chances that the next 10 flips will be the exact outcome of the first 10?
In: Mathematics
The chance of any given coin flip landing one way is always going to be 1/2. The chance of two coin flips landing a certain way, becomes 1/2^2(1/4) three landing a certain way becomes 1/2^3 (1/8) and so on, because it’s a half chance each time, but because you need it to be the same sequence, it’s a half of another half the deeper in the sequence you go. So basically, the odds of a series of ten coin flips coming out identically becomes 1/2^10, or as already said, 1/1024
Edit: this works with other known odds as well. Say you’re playing Yahtzee. The odds of any one die coming up on any one face is 1/6. Ergo, the odds of a Yahtzee (all dice showing the same face) Is 1/6^5 (1/7776)
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