probability
1/3
How many 4 letters words can we write using the letters from WORD (no repeating letters)?
24
What is the limit of f(x) = (x-2)/(x^2 - 3) as x approaches 0?
2/3
0.9999 repeated is also equal to...
1
200 people in New York City are surveyed about how often they use the train on their commute to work. What is the population and sample?
Population: People in New York City
Sample: The 200 people
There are 9 students; 5 wearing blue and 4 wearing black. What's the probability of choosing a student wearing blue, and then a student wearing black (in simplified form)?
5/18
Let set S = {1,2,3,4,5,6}
How many subsets of S have 3 elements?
20 (6 choose 3)
What are the two types of infinities?
Countable/listable and uncountable/unlistable
When P is false and Q is true, P implies Q is...
True
Qualitative or quantitative variable: A person's ethnicity
Qualitative
In a class of 50 students, 30 take art, 23 take math, and 12 take both. What is the probability that a randomly selected student takes neither math nor art?
9/50
For the same 10 books, if you’re lazy and only stack 4 of the books, saving the other 6 for another day, in how many ways can you do that?
10!/6! (permutations, order and no repetition)
List one type of unlistable/uncountable infinities
Decimal numbers or AB infinite names example in infinite hotel problem
The contrapositive of P implies Q is...
Not Q implies not P
Discrete or continuous: the speed of a car
continuous
Monty gives you 7 doors: you pick 1 (group A), and he divides the 6 others into a group of 2 (group B) and 4 (group C). He then removes goats until each group has 1 door remaining. What do you switch to?
group C
There are 6 people. Each two persons shake hands once and only once. How many times do they shake hands in all?
15 (6 choose 2)
In a function, every x value (has to/does not have to) have exactly one y value, and every y value (has to/does not have to) be the result of exactly one x value
has to, does not have to
To prove that P implies Q is true, showing that P implies (not Q) is false is...
proof by contradiction
If mean > median > mode, then the distribution is...
skewed to the right
A fair 6-sided die is rolled twice. What's the probability the 1st number is greater than the 2nd number?
5/12
How many 4 digit numbers greater than 1000 are there that use the 4 digits of 2012?
9
Write the formula for this sequence:
27, 9, 3, 1, 1/3, 1/9, ...
27(1/3 ^ (n-1))
What are the 5 parts of the five-number summary?
Minimum, Q1, Q2 (median), Q3, maximum