given: word “UNIVERSITY”

formula:

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

P(E’) =1-P(E)