Question -
Answer -
Given: The wordтАШSOCIALтАЩ.
By using the formula,
P (E) = favourableoutcomes / total possible outcomes
In the randomarrangement of the alphabets of word тАЬSOCIALтАЭ we have to find the probabilitythat vowels come together.
Total possibleoutcomes of arranging the alphabets are 6!
n (S) = 6!
Let E be the eventthat vowels come together
Number of vowels inSOCIAL is A, I, O
So, number of ways toarrange them where, (A, I, O) come together
n (E) = 4! ├Ч 3!
P (E) = n (E) / n (S)
= [4! ├Ч 3!] / 6!
= 1/5