Question

you flip a coin twice.
what is the probability of getting tails and then getting heads?
write your answer as a fraction or whole number.

Explanation:

Step1: Determine single flip probability

A fair coin has 2 outcomes (heads, tails). Probability of tails (T) or heads (H) in one flip: $P(T) = \frac{1}{2}$, $P(H) = \frac{1}{2}$.

Step2: Use independent events rule

Flipping a coin twice are independent events. So, $P(T \text{ then } H) = P(T) \times P(H)$.
Substitute values: $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$.

Answer:

$\frac{1}{4}$