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

Question

anonymous · Answer

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

anonymous · Answer

1

2
  1
    
512
    1
      
1,022
    1
      
1,024
    1
      
2,048

deadly_roses · Answer

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

anonymous · Answer

thanks