probability and counting principles

Front

What is Experimental Probability?

Back

Experimental Probability is what actually happens in an experiment.

Front

How do you arrange 5 people in a row out of a class of 10 people?

Back

The number of ways to arrange 5 people out of 10 is calculated using permutations: 10P5.

Front

How many ways can the top three runners earn gold, silver, and bronze medals in a race of 45 people?

Back

The number of ways is 85,140.

Front

If you roll a die and then flip a coin, how many possible outcomes are there?

Back

There are 12 possible outcomes.

Front

How many ways can the top 8 finishers advance to the finals from a group of 25 people?

Back

The number of ways is 1,081,575.

Front

What is the difference between Experimental Probability and Theoretical Probability?

Back

Experimental Probability is based on actual experiments, while Theoretical Probability is based on expected outcomes.

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 combinations of choosing r items from n items?

Back

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

Front

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

Back

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