Probability Test 2 Fall 2024

Front

What is the complement of an event?

Back

The complement of an event is the probability that the event does not occur. For example, if the probability of rolling a 6 on a die is 1/6, the complement (not rolling a 6) is 5/6.

Front

How do you calculate theoretical probability?

Back

Theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, the probability of getting heads in a coin flip is 1/2.

Front

What is a combination in probability?

Back

A combination is a selection of items from a larger set where the order does not matter. For example, choosing 4 classes from 7 different classes is a combination.

Front

What is a permutation in probability?

Back

A permutation is an arrangement of items where the order matters. For example, the batting order of players is a permutation.

Front

How do you find the probability of two independent events occurring?

Back

To find the probability of two independent events occurring, multiply their individual probabilities. For example, if P(A) = 0.5 and P(B) = 0.4, then P(A and B) = 0.5 * 0.4 = 0.2.

Front

What is the probability of an event occurring?

Back

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

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 formula for calculating permutations?

Back

The formula for permutations is P(n, r) = n! / (n - r)!, where n is the total number of items and r is the number of items to arrange.

Front

What is the probability of an event not occurring?

Back

The probability of an event not occurring is calculated as 1 minus the probability of the event occurring. For example, if P(A) = 0.3, then P(not A) = 1 - 0.3 = 0.7.

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on the expected outcomes in a perfect world, while experimental probability is based on actual experiments and observed outcomes.