1. a fair coin is flipped twice. what is the probability that it will come up heads followed by tails?\na 0…

1. a fair coin is flipped twice. what is the probability that it will come up heads followed by tails?\na 0 b $\frac{1}{8}$ c $\frac{1}{4}$ d $\frac{1}{2}$

1. a fair coin is flipped twice. what is the probability that it will come up heads followed by tails?\na 0 b $\frac{1}{8}$ c $\frac{1}{4}$ d $\frac{1}{2}$

Answer

Explanation:

Step1: Determine single - flip probabilities

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

Step2: Use the multiplication rule for independent events

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

Answer:

C. $\frac{1}{4}$