Let A = {0,1,2,3}, B = {0,1}, and C = {2,3,4,5}. True or False: B C A.
What is true. All elements in B are also in A AND n(B) < n(A).
100
This is the cardinality of the set A n B in the following Venn Diagram.
What is 6?
100
This is the number of 5-letter codes that can be made if no letter can be used more than once. (Note: no letter can be used more than once.)
What is P(26, 5)? OR What is 26*25*24*23*22 = 7,873,600?
100
In the course of a professional baseball season, the probability that a good (and consistent) lead-off batter will get on base is about 0.435. If a good lead-off batter goes to bat 620 times during the season, this is the number of times should he expect to reach a base.
What is 620*0.435 = 269.7 ~ 270 times.
100
This is how to convert from probability to odds.
What is O(E) = P(E)/P(not(E))?
200
Let U = {letters of the alphabet}, A = {o,l,y,m,p,i,c,s}, and B = {e,m,p,l,o,y}. This is the set A n B.
What is {o,l,y,m,p}?
200
If 18 people have blonde hair, 12 people have blue eyes, and 8 people have blonde hair and blue eyes, this is the Venn Diagram drawn to represent the situation.
What is ...
200
Compare the term combination with its use in the phrase combination lock. Is combination lock an appropriate name for this item? Why or why not?
No it is not appropriate. The order in which you enter the numbers matters in a combination lock, so really they should be called a permutation lock!
200
This law tells us that the experimental probability of rolling a 3 on a standard six-sided die will approach 1/6 (the theoretical probability) in the long run.
What is the Law of Large Numbers?
200
If the probability of a gene having a defect that causes breast cancer is 1/25, this is the odds of the gene having the defect.
What is 1:24?
300
Let A = {0,1,2,3}, B = {0,1}, and C = {2,3,4,5}. This is the symbol that should be used to make the following statement true. 2 B
What is "does not exist in" (the e with the vertical line)?
300
This is how you would shade the area representing not(A) U B in the following Venn Diagram.
What is (A only should not be shaded and that is it).
300
This is the number of ways a group of 50 Miss America contestants can be ranked as 1-10 in a beauty pagent.
What is P(50,10) = 50*49*48....*41?
300
This is the probability that a person taking a 10 question True/False quiz would get a 100% be guessing randomly.
What is 1/(2^10) = (1/2)^10?
300
The house odds of a game are 15:1. This is the probability you will win the game.
What is 1/16?
400
Let X = {natural numbers with 1 < x < 9}, Y = {1,3,5,7}, and Z = {2,4,6,8}. True or false: the sets Y and Z are equivalent.
What is true? (Equivalent sets have the same NUMBER of elements, equal sets have the EXACT SAME elements.)
400
From the diagram provided, this is the cardinality of the set ((A n B) U C).
What is 47?
400
This is the number of ways to pick to answer a 20 question multiple choice exam is each question has four choices.
What is 4^20?
400
A player is dealt a six card hand from a standard 52 card deck. This is the probability they are dealt two three-of-a-kinds.
What is (13*C(4,3)*12*C(4,3))/C(52,6) =
(52/52)*(3/51)*(2/50)*(48/49)*(3/48)*(2/47)
400
You are betting on Ted Ligety to win the alpine ski racing championship with a bookie. If the odds you are given are 1:5, this is the amount of money you would win if you put $100 bet on Ligety and he wins.
What is $20?
500
This is the definition of the cardinality of a union.
What is n(A U B) = n(A) + n(B) - n(A n B)
500
Out of 500 doctors, 255 accept children as patients, 360 perform surgery and 370 are general practitioners. If 175 of the general practitioners accept children as patients, 185 of the doctors performing surgery will operate on children, 260 of the general practitioners perform surgery, and there are 135 general practitioners who will perform surgery on children, this is how many of the 600 doctors are general practitioners who do not perform surgery and do not accept children.
What is 70?
500
This is the number of ways to get exactly 4 aces in a 7-card hand dealt from a standard 52 card deck.
What is C(4,4)*C(48,3)?
500
In horse racing, a "Pick Six" bet requires you to pick the winning horse in six different races. Suppose that there are nine hourses in the first race, ten in the second, twelve in the third, fifteen in the fourth, eight in the fifth , and seven horses in the sixth race. This is the probability you correctly "Pick Six" by guessing.
What is (1/9)*(1/10)*(1/12)*(1/15)*(1/8)*(1/7)?
500
Lebron James has a 35% chance of winning the NBA MVP award this season. If you were betting on this outcome, these are the odds you would be given be a casino.