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

Explanation:

Step1: Determine probability of first - head

The probability of getting a head in a single coin - flip is $\frac{1}{2}$ since there are 2 possible outcomes (head or tail) and 1 favorable outcome (head). $P(\text{head})=\frac{1}{2}$

Step2: Determine probability of second - tail

The probability of getting a tail in a single coin - flip is $\frac{1}{2}$ since there are 2 possible outcomes (head or tail) and 1 favorable outcome (tail). Also, coin - flips are independent events. $P(\text{tail})=\frac{1}{2}$

Step3: Calculate joint probability

For independent events $A$ and $B$, the probability of $A$ and $B$ occurring is $P(A\cap B)=P(A)\times P(B)$. Here, $A$ is getting a head on the first flip and $B$ is getting a tail on the second flip. $P(\text{head then tail})=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$

Step4: Convert to percentage

To convert $\frac{1}{4}$ to a percentage, we multiply by 100. $\frac{1}{4}\times100 = 25.0%$

Answer:

25.0%