only 10 tickets were sold; you and a friend each bought 1 ticket. What is the probability the first prize and you will get the second prize?

Question

Assume that a lottery was conducted in a small office and only 10 tickets were sold; you and a friend each bought 1 ticket. Two winners will be selected. What is the probability that your friend will get the first prize and you will get the second prize? What is the probability that you will get the first prize and friend will get the second?

Answer 1

The probability that your friend gets the first prize is 1/10 and the probability that you get the second prize after your friend has already gotten first is 1/9 so the probability that both happen is 1/10*1/9=1/90