SOLUTION: Four letters are selected at random with replacement from the word MATHCOUNTS. What is the probability that the letters in the order they are selected will form the word MATH?

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Question 1043822: Four letters are selected at random with replacement from the word MATHCOUNTS. What is the probability that the letters in the order they are selected will form the word MATH?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(1/10)*(1/10)*(2/10)*(1/10)=1/5000.
There are two Ts; with replacement, the probabilities don't change with each draw.