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

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

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

Answer

Explanation:

Step1: Determine single - flip probabilities

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

Step2: Use the multiplication rule for independent events

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

Step3: Convert to percentage

To convert $\frac{1}{4}$ to a percentage, we multiply by 100. $\frac{1}{4}\times100 = 25%$

Answer:

25%