Answer:
The probability that I will choose a consonant is 62.50%.
Explanation:
Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed: 
 
Vowels: 3 
Consonants: 5 
 
5/8 = X 
0.625 = X 
0.625 x 100 = 62.50 
 
Therefore, the probability that I will choose a consonant is 62.50%.