A letter is chosen at random from the word “ROSE”. Find the probability, that the letter chosen is a vowel.
A) 1/4
B) 3/4
C) 1/2
D) 2/5
Correct option is (C) 1/2
R & S are consonant and 0 & E are vowels in word ROSE.
Total number of letters in ROSE is n(S) = 4
Total vowel letters in ROSE is n(V) = 2
\(\therefore\) P(V) \(=\frac{n(V)}{n(S)}=\frac24=\frac12\)
Hence, the probability that the letter chosen is a vowel is \(\frac{1}{2}.\)