Three fair quarters are tossed, and a tail appears on at least one of them. What is the probability that at least one head appears? Express your answer as a common fraction.
First, let's find the total number of cases we work through. We can actually just list them all out.
We have
(HHT,HTH,HTT,THH,THT,TTH,TTT)
The only possibility where a head doesn't appear is TTT. That means that
(HHT,HTH,HTT,THH,THT,TTH) all work.
Since probability is essentially Probability=# of Favorable OutcomesTotal Outcomes
So we just have 67
So 6/7 is our answer.
Thanks! :)