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Lamia has the letter cards A, H, M, and T in a bag. If she selects a permutation of the cards at random, what is the probability that she will spell the word "MATH"?
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5 votes
Lamia has the letter cards A, H, M,

and T in a bag. If she selects a
permutation of the cards at random,
what is the probability that she will
spell the word "MATH"?

User Alexey Zatsepin
by
5.6k points

1 Answer

4 votes
The probability that she will spell the word “MATH” is 1/24.

Step-by-step explanation:

All possible arrangements = 4P4 = 4 x 3 x 2 x 1 = 24

Only 1 out of them will spell “MATHS”.

Therefore, the probability that she will spell the word “MATH” is 1/24.
User Chuck Mosher
by
6.2k points
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