Probability
Basics
Basics
The probability of any event ranges between these two numbers.
What is 0 and 1?
A Venn diagram is used to represent this.
What is the relationship between sets/events?
P(A and B) = P(A) × P(B|A). What is this rule?
What is the General Multiplication Rule?
Two events are independent if knowing one occurred does not affect...
What is the probability of the other?
A bag has 4 red, 3 blue, and 3 green marbles. What's the probability of red?
What is 4/10 or 0.4?
This rules is used when two events cannot happen at the same time.
What is the Addition Rule for mutually exclusive events?
What does the overlapping region represent?
What is the intersection of the two events?
You draw a card, don’t replace it, and draw again. Is this independent or dependent?
What is dependent?
Coin tosses are examples of this.
What is independent events?
You roll two dice. What’s the probability of getting a sum of 7?
What is 6/36 or 1/6?
If P(A) = 0.3 and P(B) = 0.4, and A and B are mutually exclusive, find P(A or B).
What is 0.7?
If P(A) = 0.6, P(B) = 0.5, and P(A and B) = 0.2, find P(A or B).
What is 0.9?
Define conditional probability in words.
What is the probability of one event given that another has occurred?
If P(A and B) = P(A) × P(B), then...
What is A and B are independent?
A spinner has 5 equal sections labeled A–E. What is the probability of not spinning A?
What is 4/5?
Define a sample space for flipping a coin twice.
What is (HH, HT, TH, TT)?
Interpret P(A|B) using a Venn diagram.
What is the proportion of B that also belongs to A?
Given P(A and B) = 0.15 and P(B) = 0.5, find P(A|B).
What is 0.3?
You test this to determine if events are independent.
What is compare P(A|B) with P(A)?
80% of students wear sneakers. What’s the probability two randomly chosen students both wear sneakers?
What is 0.8 × 0.8 = 0.64?
The probability that something does not happen.
What is 1 minus the probability that it does happen?
In a class of 120 students, 70 take Statistics, 50 take Calculus, and 30 take both. This is the probability a student takes one or the other but not both.
What is 0.5?
The number you get when you subtract the probability of A or B from the sum of P(A) and P(B).
What is P(A and B)?
When the product of two individual probabilities does not equal their joint probability, this is what the events are.
What is not independent?
This is the expected value of a game where you win $10 with probability 0.2, win $5 with probability 0.3, and lose $3 with probability 0.5.
What is $2?