Question

A letter is chosen at random from the letters of the word 'PROGRESSION'. Find the probability that the chosen letter is a vowel.​

Answer 1

Given:

PROGRESSION

To find:

The probability that the chosen letter is a vowel.​

Solution:

• Number of vowels in the given letter is 4 ( O,E,I,O) =n(A)
• Total number of words = 11 = n(S)

$Probability=\frac{number of favourable outcomes}{Total number of favourable outcomes}$

P(f)=$\frac{n(A)}{n(S)}$

$P(f)=\frac{4}{11}$