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"?

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

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.