Set Theory
How many elements are in set A if A = {1, 2, 2, 3, 6}?
What is 4?
If two events, A and B, are NOT independent, what is the formula for finding the intersection between A and B?
What is P(A and B) = P(A) x P(B|A)?
What is the formula for finding the probability of A conditioned on B?
Do you use a permutation or a combination when order matters?
What is a permutation?
What is a set that has no elements repeated and is equal to set A if A = {4, 3, 12, 82, 251/2}?
What is {4, 3, 12, 64, 5}?
You flip a fair coin twice. What is the probability that the first flip is heads or the second flip is tails?
What is 0.75?
Events A and B are independent. If P(Ac) = 0.55 and P(B) = 0.6, what is P(A|B)?
What is 0.45?
What is the formula for a combination?
What is (n!) / r! (n-r)! where n is the total number of values and r is the number of values being chosen.
If A = {1, 2, 4}, B = {2, 4, 5}, and C = {2, 5}, what is the set {(A and B) and (C or A)}?
What is {2, 4}?
Two cards are chosen from a standard poker deck (52 cards, 13 of each suit) without replacement. What is the probability that both cards are hearts?
What is 0.0588?
You are drawing a card from a standard poker deck. Given that you drew a King, what is the probability that you draw an Ace?
What is 0?
How many hands of 5 cards can be dealt from a deck of 52 playing cards?
What is the empty set?
If P(Ac) = 0.74, P(B) = 0.37, and the probability of the union of A and B is 0.47, what is the probability of the intersection of A and B?
What is 0.16?
You are drawing marbles from a bag. There are 7 orange marbles, 12 red marbles, 8 blue marbles, and 15 purple marbles. You reach in the bag, pull out a red marble, and set it aside. What is the probability that the next marble you pick is also red?
What is 0.0767?
Eight candidates are competing to get a job at a prestigious company. The company has the freedom to choose as many as two candidates. In how many ways can the company choose two or fewer candidates.
What is 39?
In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?
What is 18?
You roll a fair die twice. What is the probability you roll a 3 on the first roll or at least a 4 on the second roll?
What is 0.583?
In a certain region of western Asia, 75% of the population live to be at least 80 years old. 63% of the population lives to be at least 90 years. What is the probability of a randomly selected person who is in
her/his/their 80's survives to be 90 years old?
What is 0.84?
A photographer is trying to take a picture of two men, three women, and four children. If the men, the women, and the children are always together, how many ways can the photographer arrange them?
What is 1728?