LUOA Algebra II Formula Sheet & Practice Problems: Module 11

A jeweler has 15 diamond pendants and will display 4 of them from left to right in a glass case. In how many ways can he select and display the 4 pendants?

32,760

A card is drawn from a deck of 52. What is the probability of drawing either a diamond or a seven?

4/13

A die is rolled twice. What is the probability of getting either a multiple of 3 on the first roll or a total of 7 for both rolls?

4/9

A dog has a litter of 8 puppies. In how many ways can a group of 5 puppies be chosen?

56

In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal choices are there if you were to have 1 appetizer, 1 entree, and 1 dessert?

72

Interquartile Range

IQR = 3rd Quartile − 1st Quartile

Probability of Mutually Exclusive Events

P(A U B) = P(A) + P(B)

Probability of Independent Events

P(A and B) = P(A) * P(B)

Probability of Dependent Events

P(A and B) = P(A) * P(B|A)

Probability of Inclusive Events

P(A ∪ B) = P(A) + P(B) − P(A ∩ B)

Theoretical Probability

P(event) = # favorable outcomes / # total amount of outcomes in sample space

Binomial Probability

P(r) = nCrp^(r)q^(n-r)

Combination Formula

nCr = n!/r!(n-r)!

Permutation Formula

nPr = n!/(n-r)!