Probability Test 3 Fall 2024

Front

What is the complement of an event in probability?

Back

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

Front

How do you calculate the probability of not rolling a specific number on a die?

Back

To find the probability of not rolling a specific number (e.g., 4), subtract the probability of rolling that number from 1. For a regular die, P(not 4) = 1 - P(4) = 5/6.

Front

What is the formula for calculating combinations?

Back

The formula for combinations is C(n, r) = n! / (r!(n - r)!), where n is the total number of items, r is the number of items to choose, and '!' denotes factorial.

Front

What is the probability of two independent events occurring?

Back

The probability of two independent events A and B occurring is P(A and B) = P(A) * P(B).

Front

How do you find the theoretical probability of an event?

Back

Theoretical probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes. P(event) = Number of favorable outcomes / Total outcomes.

Front

What is the probability of an event that is certain to happen?

Back

The probability of an event that is certain to happen is 1.

Front

What is the probability of an event that is impossible?

Back

The probability of an event that is impossible is 0.

Front

How do you calculate the probability of the union of two events?

Back

The probability of the union of two events A and B is calculated as P(A or B) = P(A) + P(B) - P(A and B).

Front

What is a sample space in probability?

Back

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

Front

What does it mean for events to be mutually exclusive?

Back

Events are mutually exclusive if they cannot occur at the same time. For example, rolling a 3 and rolling a 4 on a single die.