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

Explanation:

Step1: Probability of first - head

The probability of getting a head in a single coin - flip is $\frac{1}{2}$ since a coin has 2 equally likely outcomes (head or tail). $P(\text{head})=\frac{1}{2}$

Step2: Probability of second - tail

The probability of getting a tail in a single coin - flip is also $\frac{1}{2}$ as the coin - flips are independent events. $P(\text{tail})=\frac{1}{2}$

Step3: Probability of head then tail

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 the event of getting a head on the first flip and $B$ is the event of 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 a fraction to a percentage, we multiply the fraction by 100. $\frac{1}{4}\times100 = 25%$

Answer:

25%