Probability Test 1 Fall 2024

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order. The order matters in permutations.

Front

What is a combination?

Back

A combination is a selection of objects where the order does not matter.

Front

What is the formula for permutations of n objects taken r at a time?

Back

The formula is P(n, r) = n! / (n - r)!.

Front

What is the formula for combinations of n objects taken r at a time?

Back

The formula is C(n, r) = n! / [r!(n - r)!].

Front

What is the probability of an event?

Back

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Front

How do you calculate the theoretical probability of an event?

Back

Theoretical probability = (Number of favorable outcomes) / (Total number of outcomes).

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

Front

What is the notation for conditional probability?

Back

The notation for conditional probability is P(A|B), which means the probability of A given B.

Front

What is the addition rule of probability?

Back

The addition rule states that P(A or B) = P(A) + P(B) - P(A and B).

Front

What is the multiplication rule of probability?

Back

The multiplication rule states that P(A and B) = P(A) * P(B|A) for dependent events.