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)!