The following box contains 9 letters shown. The letters are drawn one by one without replacement and the result are recorded in order.

find the probabilty of the outcome Professor

These are 8 independent events

P (P) = 1/9

P (r) = 2/8

P (o) = 2/7 and so on until only r is left

These probabilities are multiplied together to give the resulting p (Professor)

So it will be 1/9 * 1/4 * 2/7 * 1/6 * 1/5*1/2*1/3 * 1/2 = 2 / 90,720 = 1/45,360