ผลต่างระหว่างรุ่นของ "Probstat/homework 1"

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In these problems, please hand in your paper solutions.    Don't just state the answers, but also show your work.
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== Basic problems ==
 
== Basic problems ==
 
1. Work on problems 1, 3, 5, 7, 9, and 10 in Counting section in [[Probstat/week2_practice_1|week2 practice 1]].
 
1. Work on problems 1, 3, 5, 7, 9, and 10 in Counting section in [[Probstat/week2_practice_1|week2 practice 1]].
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2. (From FCP, Ch 2, Problem 13.)  We have two bags.  Bag A contains 4 red and 3 black balls.  Bag B contains 4 red and 6 black balls.  If a ball is randomly selected from each urn, what is the probability that the balls will be of the same color?
  
 
== Challenging problems ==
 
== Challenging problems ==
 
1. We are tossing N different balls into N bins.  Each ball is equally likely to land in any bins.  What's the probability that there is no empty bins?  (I.e., empty bins are those with no balls landed on.)
 
1. We are tossing N different balls into N bins.  Each ball is equally likely to land in any bins.  What's the probability that there is no empty bins?  (I.e., empty bins are those with no balls landed on.)

รุ่นแก้ไขเมื่อ 18:02, 3 กันยายน 2557

In these problems, please hand in your paper solutions. Don't just state the answers, but also show your work.

Basic problems

1. Work on problems 1, 3, 5, 7, 9, and 10 in Counting section in week2 practice 1.

2. (From FCP, Ch 2, Problem 13.) We have two bags. Bag A contains 4 red and 3 black balls. Bag B contains 4 red and 6 black balls. If a ball is randomly selected from each urn, what is the probability that the balls will be of the same color?

Challenging problems

1. We are tossing N different balls into N bins. Each ball is equally likely to land in any bins. What's the probability that there is no empty bins? (I.e., empty bins are those with no balls landed on.)