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counting and probability intermediate
Problem
If three coins are tossed at the same time, what is the probability of getting two tails and one head? Express your answer as a common fraction.
Solution
The probability of getting two tails followed by one head is . The probability of getting a tail followed by a head followed by a tail is also . Finally, the probability of getting a head followed by two tails is as well. In total, the probability of getting two tails and one head is .
Final answer
\frac{3}{8}