Probability Review

Front

What is 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 a combination?

Back

A combination is a selection of items from a larger set where the order does not matter.

Front

What is a permutation?

Back

A permutation is an arrangement of items from a larger set where the order does matter.

Front

How do you calculate combinations?

Back

Combinations are calculated using the formula: C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to choose.

Front

How do you calculate permutations?

Back

Permutations are calculated using the formula: 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?

Back

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

Front

What is the formula for conditional probability?

Back

The formula for conditional probability is P(A|B) = P(A and B) / P(B), where A and B are two events.

Front

What does 'without replacement' mean in probability?

Back

'Without replacement' means that once an item is selected, it is not returned to the set for further selection.

Front

What is the probability of drawing two purple marbles from a box containing 5 purple, 3 green, and 2 orange marbles without replacement?

Back

The probability is 2/9.

Front

What is the total number of ways to choose 5 candy bars from 14?

Back

The total number of ways is 2002.