College Prep Math: TSI Practice

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

How do you calculate the probability of a single event?

Back

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

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

Define a random variable.

Back

A random variable is a variable whose value is subject to variations due to chance.

Front

What is the difference between discrete and continuous random variables?

Back

Discrete random variables can take on a countable number of values, while continuous random variables can take on an infinite number of values within a given range.

Front

What is the formula for finding the probability of the union of two events?

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

Explain the concept of independent events.

Back

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

Front

What is the complement of an event?

Back

The complement of an event A is the event that A does not occur, denoted as A'. The probability of the complement is P(A') = 1 - P(A).

Front

How do you find the expected value of a random variable?

Back

The expected value is calculated as E(X) = Σ [x * P(x)], where x is a value of the random variable and P(x) is the probability of x.

Front

What is a probability distribution?

Back

A probability distribution describes how the probabilities are distributed over the values of the random variable.