1) A clerk at a government office waits for a number of clients to file their application forms before taking them to her boss at an inner office. After 7 clients file their forms, the clerk gets a phone call and while talking on the phone absent-mindedly shuffles the applications. If she now takes the forms to her boss, what is the probability that her boss will entertain the clients on a "first come, first served" basis?
2) In a poker hand (which consists of 5 cards), what is the probability of holding (a) 2 aces and 2 kings, and (b) 5 spades?
3) Let E and F be two events with P(E|F) = 1/2, P(E∩F)=3/20, P(F|E)=3/7. Find P(∪F).
4) In a certain college class of 1000, 760 take Math, 630 take English, 190 take Psychology, 500 take both English and Math, 120 take both Psychology and Math, 170 take both Psychology and English, and 890 take at least one of the three. Find the probability that (a) a student takes all three courses.
Can anyone help me with the solutions and answers? ☹