Hillary flips a fair coin $3$ times in a row.

Question

What is the probability that the coin lands on heads all $3$ times?

Answer 1

The probability of getting heads on a fair coin is $\frac{1}{2}$.

Since each coin flip is an independent event, the probability of getting heads on all $3$ flips is:

$$\left(\frac{1}{2}\right)\times\left(\frac{1}{2}\right)\times\left(\frac{1}{2}\right) = \left(\frac{1}{2}\right)^3 = \frac{1}{8}$$

Therefore, the probability that the coin lands on heads all $3$ times is $\boxed{\frac{1}{8}}$.