Probability Review, Fall 2024

Front

What is the definition of A∩B in probability?

Back

A∩B represents the intersection of events A and B, meaning the outcomes that are common to both events.

Front

What is the definition of A∪B in probability?

Back

A∪B represents the union of events A and B, meaning the outcomes that are in either event A, event B, or both.

Front

Back

x = -5 or x = 3

Front

What is the probability of getting heads and rolling a 5 with a coin and a die?

Back

P(heads and 5) = 1/12

Front

How do you calculate the probability of an event?

Back

Probability of an event = (Number of favorable outcomes) / (Total number of outcomes).

Front

If a car is selected at random from 300 cars, what is the probability of selecting a foreign and mid-sized car if there are 20 such cars?

Back

P(Foreign and mid-sized) = 20/300.

Front

What does it mean if two events are independent in probability?

Back

Two events are independent if the occurrence of one event does not affect the occurrence of the other.

Front

What is the formula for the probability of the union of two events A and B?

Back

P(A∪B) = P(A) + P(B) - P(A∩B).

Front

What is the complement of an event A?

Back

The complement of event A, denoted A', is the set of outcomes that are not in A.

Front

How do you find the probability of the complement of an event?

Back

P(A') = 1 - P(A).