Basic Prob, Conditional Prob, Mutually Exclusive Review

Front

What is the definition of probability?

Back

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

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event A is given by P(A) = Number of favorable outcomes / Total number of outcomes.

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time; the occurrence of one event excludes the occurrence of the other.

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

How do you calculate conditional probability?

Back

P(A|B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring.

Front

What is the probability of spinning green if there are 4 colors and 1 is green?

Back

P(Green) = 1/4.

Front

If a car model has 4 trim levels, 5 colors, and 3 interiors, how many different versions can be created?

Back

Total versions = 4 * 5 * 3 = 60.

Front

What is the probability of flipping a nickel three times and getting all tails?

Back

P(All Tails) = (1/2)^3 = 1/8.

Front

What is the probability that a randomly selected student plays sports and does not participate in community service?

Back

P(Sports and not Community Service) = 4/27.

Front

What is the probability of choosing a letter other than 'A' from the word 'ALGEBRA'?

Back

P(Not A) = 5/7.