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

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

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

Answer

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 $P(T)\times P(H)$. $P(T)\times P(H)=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$

Answer:

$\frac{1}{4}$