Probability Test 3 Fall 2024

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 theoretical probability?

Back

Theoretical Probability = (Number of favorable outcomes) / (Total number of outcomes)

Front

What is the difference between experimental probability and theoretical probability?

Back

Experimental probability is based on actual experiments and observations, while theoretical probability is based on expected outcomes.

Front

How do you calculate the probability of an event A given event B has occurred?

Back

P(A|B) = P(A and B) / P(B) where P(A|B) is the conditional probability.

Front

What is a permutation?

Back

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

Front

What is a combination?

Back

A combination is a selection of objects without regard to the order.

Front

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

Back

The formula is P(n, r) = n! / (n - r)! where n! is the factorial of n.

Front

How do you calculate the number of 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 pulling a specific color marble from a bag?

Back

The probability is calculated by dividing the number of marbles of that color by the total number of marbles.

Front

What is the experimental probability of an event?

Back

Experimental probability is calculated by dividing the number of times an event occurs by the total number of trials.