Probability and combinations

Front

What is a combination in probability?

Back

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

Front

What is a permutation in probability?

Back

A permutation is an arrangement of items from a larger set where the order of arrangement 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 the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the probability of getting a specific letter from a set of letters?

Back

The probability is calculated by dividing the number of times the specific letter appears by the total number of letters.

Front

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

Back

The probability of getting tails is 1/2, since there are two possible outcomes: heads or tails.

Front

What is the total number of ways to choose 5 players from a team of 11?

Back

The total number of ways is calculated using combinations: C(11, 5) = 462.

Front

In the context of elections, why is it a permutation to elect officers?

Back

It is a permutation because the order in which the officers are elected (president, vice president, etc.) matters.

Front

What is the probability of not selecting a specific item from a set?

Back

The probability of not selecting a specific item is calculated as 1 minus the probability of selecting that item.