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Math Help - elementary statistics problem

  1. #1
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    elementary statistics problem

    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? ☹
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  2. #2
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    Re: elementary statistics problem

    Quote Originally Posted by mozzarella View Post
    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? ☹
    we'd like to see you make an attempt at the problems and ask specific questions when you get stuck. Let's start with first problem. Do you have any idea at all how to get started?
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  3. #3
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    Re: elementary statistics problem

    for the first one,
    if there are 7 clients, there must be 7 ways to shuffle the applications..?
    so is it 7! ?
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