Question

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

Explanation:

Step1: Determine probability of each event

The probability of getting heads in a single - coin flip is $\frac{1}{2}$, and the probability of getting tails in a single - coin flip is also $\frac{1}{2}$. Since the two coin - flips are independent events, we use the multiplication rule for independent events.

Step2: Apply multiplication rule

The multiplication rule for independent events states that if $A$ and $B$ are independent events, the probability of both $A$ and $B$ occurring is $P(A\cap B)=P(A)\times P(B)$. Here, let $A$ be the event of getting heads and $B$ be the event of getting tails. So $P(A)=\frac{1}{2}$ and $P(B)=\frac{1}{2}$, and $P(A\cap B)=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

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%