Question

If a coin is flipped 10 times, what is the probability that it will show all heads or all tails?

Answer 1

very small
compute the probability it is all head, then double that number

Answer 2

1

2
1

512
1

1,022
1

1,024
1

2,048

Answer 3

based on simple probability, we know that it is 1/2 for the first flip. but for both to be the same? 1/4. We keep going like this
3rd flip - 1/8
4th flip - 1/16
5th flip - 1/32
6th - 1/64
7th - 1/128
8th - 1/256
9th - 1/512
10th - 1/1024
so for all the flips to be either heads or tails is a 1/1024 chance

Answer 4

thanks