1. Dorian has two bags. Each bag has the letters A, B, and C written on little pieces of paper inside of it. He draws one letter from each bag.

What is the probability that he draws out a vowel and a consonant?

Respuesta :

irspow
The probability of drawing a vowel and a constant in any order...

for consonant first..

(2/3)(1/3)=2/9

for vowel first 

(1/3)(2/3)=2/9

So the probability of getting a vowel and consonant in either order is:

2(2/9)=4/9

The probability of getting a vowel and consonant in either order is: 4/9

How to find the Probability?

We are told that;

Number of bags = 2 bags

Letters in each bag = A, B and C

The probability of drawing a vowel first and then a consonant is;

P(vowel then consonant) = (1/3) * (2/3) = 2/9

The probability of drawing a consonant first and then a vowel is;

(2/3) * (1/3)=2/9

Thus, the probability of getting a vowel and consonant in either order is:

2/9 + 2/9 = 4/9

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