Answer: five sevenths
Step-by-step explanation:
To determine the probability of randomly drawing a consonant from the set of cards, we first need to identify the consonants in the given letters: M, A, T, H, F, A, N.
From this set of letters, the consonants are M, T, H, F, and N. There are 5 consonants out of a total of 7 letters.
To calculate the probability, we divide the number of favorable outcomes (drawing a consonant) by the total number of possible outcomes (drawing any letter).
The probability of randomly drawing a consonant is:
Number of favorable outcomes: 5 consonants
Total number of possible outcomes: 7 letters
Therefore, the probability of randomly drawing a consonant is 5/7.
Expressing it as a fraction, the probability is five sevenths.
Therefore, the correct answer is five sevenths.