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

We use repeated trial formula to determine the probability that will show all heads or all tails after flipping a coin 10 times. In this case,

p = 10C10 * 0.5*10 * 0.5*0 p = 9.7656 x 10-4.

This probability falls for both all heads and all tails since it is 50-50 chance heads or tails