Question

You randomly choose a letter from a hat with the letters A through J. Without replacing the first letter, you choose the second letter. Find the probability of the events.
Choosing an H and then a D

Choosing a Vowel and then an F

Choosing a consonant and then an E or an I

Choosing a vowel and then a consonant

Answer 1

To calculate the probability of each event occurring you will need to know there are 7 consonants and 3 vowels. You will use this to find the probability of each set of events occurring and multiply them together.

a. 1/10 x 1/9 = 1/90 chance

b. 3/10 x 1/9 = 1/30 chance

c. 7/10 x 2/9 = 7/45 chance

d. 3/10 x 7/9 = 7/30 chance