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

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

you flip a coin twice. what is the probability of getting tails and then getting heads? simplify your answer and write it 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 $P(T\cap H)=P(T)\times P(H)$. Substitute $P(T)=\frac{1}{2}$ and $P(H)=\frac{1}{2}$ into the formula: $P(T\cap H)=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$