Definitions
Define mutually exclusive events
Events that cannot occur simultaneously
A card is drawn from a standard 52-card deck. What is the probability of drawing a red face card?
6/52
What is P(A), the probability a randomly selected person thought USC was going to win?
0.40
A fair six-sided die is rolled. What is the probability of rolling an even number?
0.5
How many continents are there?
7
Define collectively exhaustive events
one of the events must occur OR the events cover the entire sample space
A card is drawn from a standard 52-card deck. What is the probability of drawing a card that is either a Heart or a face card?
22/52
What is P(B), the probability a randomly selected person bet on USC?
0.45
A bag contains 5 red, 3 blue, and 2 green marbles. One marble is selected at random. What is the probability it is not blue?
0.70
True or false: Correlation proves causation.
False
Is flipping a coin a priori probability? If not, what kind is it?
Flipping a coin is a priori probability
A card is drawn from a standard 52-card deck. What is the probability of drawing a card that is neither a Heart nor a face card?
30/52
What is P(A ∩ B)?
0.30
One card is drawn from a standard 52-card deck. What is the probability of drawing a Queen or a Spade?
4/13
What does it mean when a dataset has a standard deviation of 0?
Every value is the same.
Give me an example of a joint probability and a marginal probability
Joint refers to the chance of two or more events happening at the same time, marginal refers to the chance of just one individual event
Two cards are drawn one after the other without replacement. What is the probability that both cards are Aces?
1/221
What is P(A' ∩ B), and what does it mean?
0.15
A spinner has 12 equal sections numbered 1 through 12. What is the probability of landing on a multiple of 3 or a number greater than 9?
0.50
Which measure of center is usually most affected by extreme outliers: mean, median, or mode?
Mean
Interpret A' ∩ B' if A = thought USC was going to win and B = bet on USC winning
The person did not think USC was going to win AND did not bet on them.
Two cards are drawn without replacement. What is the probability the first is a King and the second is a Queen?
4/663
Use joint probabilities to find P(B'), the probability a person did not bet on USC.
0.55
A box contains 4 white, 5 black, and 3 red balls. One ball is selected at random. What is the probability of selecting a black or red ball?
8/12 = 0.66
What is the probability of winning the lottery?
1 in 292 million