Probability Test 1 Fall 2024

Front

What is the definition of conditional probability?

Back

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

Front

What is the formula for calculating conditional probability?

Back

The formula for conditional probability is 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 difference between permutations and combinations?

Back

Permutations are arrangements of items where the order matters, while combinations are selections of items where the order does not matter.

Front

How do you calculate the number of permutations of n items taken r at a time?

Back

The number of permutations of n items taken r at a time is calculated using the formula: P(n, r) = n! / (n - r)!

Front

How do you calculate the number of combinations of n items taken r at a time?

Back

The number of combinations of n items taken r at a time is calculated using the formula: C(n, r) = n! / [r!(n - r)!].

Front

What is the definition of theoretical probability?

Back

Theoretical probability is the probability of an event calculated based on the possible outcomes in a perfect scenario, without any experimental data.

Front

What is the definition of experimental probability?

Back

Experimental probability is the probability of an event determined by conducting experiments or trials and observing the outcomes.

Front

If a coin is flipped, what is the theoretical probability of getting heads?

Back

The theoretical probability of getting heads when flipping a fair coin is 1/2.

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.