Question

you flip a coin twice. what is the probability of getting tails and then getting heads? write your answer as a percentage rounded to the nearest tenth.

Explanation:

Step1: Determine single - flip probabilities

The probability of getting tails in a single coin - flip is $P(T)=\frac{1}{2}$, and the probability of getting heads in a single coin - flip is $P(H)=\frac{1}{2}$.

Step2: Use the multiplication rule for independent events

Since the two coin - flips are independent events, the probability of getting tails and then heads is $P(T)\times P(H)$.
$P = \frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$

Step3: Convert to percentage

To convert $\frac{1}{4}$ to a percentage, we calculate $\frac{1}{4}\times100\% = 25.0\%$

Answer:

25.0%