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Whats the probability of european roulette spin same colour between 1-20 times?

Would like the probability for each spin please thanks

The above answers are correct only if you want to know the probability of getting specifically red or specifically black n times in a row.

Assuming you do not mind which colour you want to get 20 times in a row, then the probability of getting red or black n times in a row, out of n spins, is given by (36/37)*(18/37)^(n-1)

First spin there is a 36/37 chance of getting red or black.

after 2 spins there is a (36/37)(18/37) chance of getting the same colour both times.
=0.47

After 3 spins there is a (36/37)(18/37)^2 chance of getting the same colour every time.

1 spin: 0.973
2 spins: 0.47
3 spins: 0.23
4 spins: 0.11
5 spins: 0.055
6 spins: 0.026
7 spins:0.013
8 spins: 0.0063
9 spins:0.0031
10 spins: 0.0015
11 spins:0.00072
12 spins:0.00035
13 spins:0.00017
14 spins:0.000083
15 spins:0.000041
16 spins:0.000020
17 spins:0.0000096
18 spins:0.0000047
19 spins:0.0000023
20 spins:0.0000011

You can see that my figure of n spins is the same (to within a factor of 0.97) as martin’s figure for n-1 spins (that is, my figure for 8 spins is the same as Martin’s figure of 7 spins) As I said at the beginning, this is because I assumed it did not matter what the 1st spin was, as long as it wasn’t 0 (neither red or black). The important thing is that all the following colours are the same.