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Zanzabum
3 years ago
8

Four letters are selected at random with replacement from the word MATHCOUNTS. What is the probability that the letters in the o

rder they are selected will form the word MATH?

Mathematics
2 answers:
vovikov84 [41]3 years ago
7 0

The no. of letters in the world (MATH) = 4

the no. of favourable outcomes = 10

hence‚ probability of getting the letters (MATH) 2/5

SashulF [63]3 years ago
6 0

So "MATHCOUNTS" has 10 letters.

And "MATH" has 4 letters.

So the probability of you getting the letters "M" "A" "T" "H" is 4/10 or 2/5.

But it has to be in order...

There are 32 ways you can arrange the 4 letters. There is only 1 way you can write "MATH"

So 1/32 probability of 2/5 is 2/160 or 1/80

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