A2B Probability Review Practice

Front

What is the formula to calculate combinations?

Back

The formula for combinations is 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 many ways can 2 people be chosen from a group of 5?

Back

C(5, 2) = 5! / (2!(5 - 2)!) = 10.

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

If a die is rolled, what is the probability of rolling a 6?

Back

The probability of rolling a 6 on a six-sided die is 1/6.

Front

What is the probability of rolling a number less than 5 on a die?

Back

The probability of rolling a number less than 5 (1, 2, 3, or 4) is 4/6 or 2/3.

Front

What is the probability of two independent events occurring?

Back

The probability of two independent events A and B occurring is P(A) * P(B).

Front

How do you calculate the probability of multiple events in sequence?

Back

For dependent events, use P(A and B) = P(A) * P(B|A). For independent events, use P(A and B) = P(A) * P(B).

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

How many different ways can a president, vice-president, treasurer, historian, and secretary be selected from 24 members?

Back

The number of ways is 24! / (24 - 5)! = 24 * 23 * 22 * 21 * 20 = 5,100,480.