Question

Jed places the letters A, B, C, D, E, F, G, H and I into a bag and picks 2 at random. What is the probability he chooses at least 1 vowel?

Answer 1

0.583333333333

Explanation:

we have 9 letters

3 vowels: A , E , I

6 consonant: B, C, D, F, G , H

Consider the event V : «choosing at least 1 vowel»

`\Longrightarrow \overline{V} \ \colon \ \text{choosing 2 consonant}`

`p(V) =1-p\left( \overline{V} \right) =1-(C^(2)_(6))/(C^(2)_(9))=0.583333333333`