Q. 455.0( 2 Votes )
Find the probability that in a random arrangement of the letters of the word ‘UNIVERSITY’, the two I’s do not come together.
given: word “UNIVERSITY”
we have to find the probability that two I’s do not come together
total possible outcomes for arrangement of alphabets are 10!
therefore n(S)= 10!
let E be the event that both I’s come together
n(E)= 2! × 9!
probability of occurrence of this event is
Let E’ be the event that both I’s do not come together
Therefore, the probability that two I’s do not come together is
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