A2TH - Probability for Honors Trig

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

P(A) = Number of favorable outcomes / Total number of possible outcomes.

Front

What does it mean for events to be independent?

Back

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

Front

What is the probability of the complement of an event?

Back

The probability of the complement of an event A is P(A') = 1 - P(A).

Front

How do you calculate the probability of two independent events occurring together?

Back

P(A and B) = P(A) * P(B).

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

What is the formula for conditional probability?

Back

P(A|B) = P(A and B) / P(B).

Front

What is a tree diagram in probability?

Back

A tree diagram is a visual representation of all possible outcomes of a probability experiment, showing the paths and their associated probabilities.

Front

What is the probability of drawing two marbles of different colors from a box without replacement?

Back

Calculate the probability of drawing the first marble and then the second marble, adjusting for the total number of marbles left.

Front

What is the law of total probability?

Back

The law of total probability states that the total probability of an event can be found by considering all possible ways that event can occur.