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

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 first and then heads is $P(T\cap H)=P(T)\times P(H)$. Substitute $P(T)=\frac{1}{2}$ and $P(H)=\frac{1}{2}$ into the formula: $P(T\cap H)=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Step3: Convert to percentage

To convert $\frac{1}{4}$ to a percentage, we use the formula $\text{Percentage}=\frac{1}{4}\times100% = 25%$.

Answer:

25%