Question

You randomly choose a letter from a hat with the letters A through J. Without replacing the first letter, you choose a second letter. What is the probability of choosing a vowel and then a consonant?

Answer 1

7/30

Explanation:

3 vowels (A,E,I)

7 consonants

3/10 × 7/9

7/30

Answer 2

21/100

Explanation:

Letters: ABCDEFGHIJ 10 letters

Vowels: AEI 3

P (vowel)= vowels/ total = 3/10

No replacement ( assume the letter taken was a

Letters: BCDEFGHIJ 9 letters

Consonants : BCDFGHJ 7 letters

P(constant) = 7/10

P(vowel, no replacement, consonant) =P (vowel)*P(constant)

=3/10*7/10

=21/100