I ran across a probability problem as follows:
In a certain prize give away, to win a prize, you must spell the word "WIN". The tickets are printed so that 70% of them have a "W", 20% have an "I", and 10% have an "N". If you purchase 10 tickets, what is the probability that you will win the prize?
I have an estimate of 0.6 (if rounding to one decimal place) through simulation, but I don't know how to solve this problem analytically and what probability distribution should be used.