### Instruction: Ben flips a fair nickel four times. What is the probability that Ben flips Head, Tail, Head, Tail, in that order? Express your answer as a common fraction.### Response: I need to find the probability of a specific sequence of four flips, where each flip has two possible outcomes, either Head or Tail.
Since the nickel is fair, each outcome has the same probability of 1/2.
To find the probability of a sequence of independent events, I can multiply the probabilities of each event.
So the probability of flipping Head, Tail, Head, Tail is (1/2) * (1/2) * (1/2) * (1/2).
This is the same as (1/2)^4, which is 1/16.