Question

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

Answer 1

Number of elements in Sample space is

n(S) = 2^10 =1024

Let A be the event of showing all heads and tails

A={HHHHHHHHHH, TTTTTTTTT}

n(A) =2


$p(a) = \frac{n(s)}{n(a)}$


$p(a) = \frac{2}{1024}$

$p(a) = \frac{1}{512}$

The required probability is 1/512