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jmc

prealgebra intermediate

Problem

Each of the ten letters in ``MATHCOUNTS'' is written on its own square tile and placed in a bag. What is the probability that a tile randomly selected from the bag will have a letter on it that is in the word ``TEACH''? Express your answer as a common fraction.
Solution
Among the 10 letters in the word MATHCOUNTS, the 5 letters, A, T, H, C, and T appear in the word TEACH. The probability of drawing one of these tiles is .
Final answer
\frac{1}{2}