COS 341, September 24, 1997Handout Number 4
Homework Set 2
Reading Assignments Read Chapter 4.
Written Assignments Do Exercises 11, 19, 21, 22, 29, 31 and 35 in Section 3.6.
Special Problem 1 (to be counted as 1 exercise) Deal five cards from a random deck. What is the probability of getting a straight? What is the probability of getting a flush? What is the probability of getting a two-pairs''?
Special Problem 2 (to be counted as
2 exercises) There are 3 red balls (identical),
6 blue balls, and 7 green balls. There are
two boxes 
and 
.
(a) How many ways are there to put the balls into the boxes, so that each box has 8 balls?
(b) If there are three boxes , and 
,
how many ways are there to put the
balls, so that there is no empty box.
(c) Repeat (b) for the case when there are
four boxes , , , and 
.