Question

A bag contains 26 tiles with letters A through Z. Find the probability of drawing three vowels with replacement. Find the probability of drawing three vowels without replacement. Round your answer to the nearest thousandth. Which is independent? Which event is dependent?

Answer 1

0.0071 & 0.004

Explanation:

Total number of vowels 'V'=5

total number of alphabets= 26

therefore, P(V)=5/26

P(3 V's with replacement)= (5/26)³

=0.0071

P(3 V's without replacement)=(5/26)(4/25)(3/23)

=0.004

The first event is independent

The second event is dependent