Question -
Answer -
Given: The word‘CLIFTON’.
By using the formula,
P (E) = favourableoutcomes / total possible outcomes
In the randomarrangement of the alphabets of word “CLIFTON” we have to find the probabilitythat vowels come together.
Total possibleoutcomes of arranging the alphabets are 7!
n (S) =7!
Let E be the eventthat vowels come together
Number of vowels inCLIFTON is I, O
Number of ways toarrange them where, (I, O) come together
n (E)= 6! × 2!
P (E) = n (E) / n (S)
= [6! × 2!] / 7!
= 2/7