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Math 76O143 Finite Mathematics
Selfmarking Homework Assignment #6
SETS AND PROBABILITY
Submit over the internet by 11:59 PM on Sunday 1 May 2016
Maximum value toward semester grade is 4 pts
Methods will be discussed in class;
CAUTION: Prof McFarland makes new tests each semester.
Average grade on Fall 2015 paper test # 6 : 27.66  Perfect = 45  See future grade prospects? 
[2] 



(a)(3 pts) Place numbers in the appropriate parts of the Venn diagram at the right so as to interpret the given information. Scoring: 1 point for center number only 2 points for center number and 3 adjacent numbers only. 

(b)(1 pt) How many students read at least one magazine?  
(c)(1 pt) How many students read exactly two magazines? 

[3] 



(b)(2 pts) Four balls are chosen from an urn containing 8 white balls and 7 blue balls. In how many ways can exactly 3 of the 4 balls be blue?  
(c)(2 pts) How many different 5card poker hands are there? 
[4]  (a)(2 pts)(a) In how many ways can a TV manager schedule all 6 different commercials into 6 available time slots reserved for commercials?  


(c)(1 pt) One card is drawn from a standard 52card deck ; what is the probability that the card is a diamond? 
[5] 
(a)(2 pts) A pair of dice is cast ;
what is the probability that one die shows "6" and the other shows less than 3? 
(b)(1 pt) A pair of fair dice is cast ;
what is the probability that the faces show the same number? 

(c)(2 pts) Let E and F be two mutually exclusive
events, for which P(E) = 0.2 and P(F) = 0.5 ; find P(EF). 
[6] 


(b)(1 pt) In a lottery, a 4digit number is
picked (such as 0226); what is the probability that a
lottery player gets at least the first digit correct? 

(c)(2 pts) A druggist must randomly choose 4 brands
from amongst six brands A,B,C,D,E, and F to stock in her store. What is the
probability that one of the brands will be B? 
[7] 
(a)(2 pts) Using data from the tree
diagram at the right, find P(E). 

(b)(2 pts) Again using data from the tree
diagram at the right, find P(AE). 


[8] 








(b)(1 pt) Check the alternative below which correctly interprets the number
" ¾ " in problem [8] above. A correct answer (and 1 point) here requires a correct answer to [8a] above, 



(c)(1 pt) Check the alternative below which correctly interprets the number "½" in
problem [8] above. A correct answer (and 1 point) here requires a correct answer to [8a] above, 



(d)(1 pt) Find P(A  D), that is, find the probability that the chosen coin was the penny. 
[9] 
(a)(2 pts) A fair coin is tossed 6 times: the probability of a head
on each toss is therefore ½. What is the probability that exactly 3 of
these tosses result in heads? 
(b)(3 pts) A fair coin is tossed 6 times: the
probability of a head on each toss is therefore ½. What is the probability
that at least 3 of these tosses result in heads? 
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