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?

Question

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

Answer 1

1 in 1024.

The chance of any individual flip matching a specific outcome is 1 in 2. So the chances of 10 flips matching specific outcomes are 1 in 2^10, which is 1 in 1024.

Or, to put it another way, there are 1024 different outcomes for 10 coin tosses. Only one of them will be the matching sequence.