Alegebra 2 H Chapter 8
Even digits
0, 2, 4, 6, 8
Counting principle
m1 x m2 x m3 ... x mn
Range
max-min
theoretical probability
number of favorable outcomes/number of total outcomes
experimental probability
number of successes/number of trials
Standarde deviation
the spread of the date values from the mean
When asked about a pair of dice the number given is...
the sum of the two dice
Compound events
union or intersection of two events [will include or]
Outlier
value less than Q1 - 1.5IQR or greater than Q3 + 1.5IQR
Dependent events
events in which the occurrence of one affects the occurrence of the other; P(A and B) = P(A) x P(B)
Independent events
events in which the occurrence of one does not affect the occurrence of the other; P(A and B) = P(A) x P(B)
Inclusive events
events that can occur at the same time; P(A or B) = P(A) + P(B) - P(A and B)
Mutually exclusive or disjoint events
events that have no outcomes in common; P(A or B) = P(A) + P(B)
Geometric Probability
desired area/total area (ratio of two lengths, areas, or volumes)
Finding variance and standard deviation
1) find the mean of the data 2) find the difference between the mean and each data value 3) square the differences from step 2 4) Find the variance by adding the squares of all the differences from the mean and then dividing by the number of data values 5) Find the standard deviation by taking the square root of variance Know symbol for mean, variance, and SD
Odd digits
1, 3, 5, 7, 9
How many possible outcomes when flipping a coin?
2
Prime numbers
2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
How many letters in alphabet?
26
How many face cards?
3 each suit; 12 total
How many possible outcomes when rolling a pair of dice?
36
How many suits in a standard deck?
4
Composite numbers
4, 6, 8, 9, 10, 12, 14...
How many possible outcomes when picking a card?
52
How many vowels?
5; A, E, O, U, I
How many possible outcomes when rolling a single die?
6
What are the number cards?
Ace(1)-10; 10 each suit; 40 total
Mean
Average
Binomial Probability Experiment
Know how to use given equation to find most likely outcomes and different probabilities [usually a survey question]
Median
Middle
5 number summary
Minimum, Q1 (median of lower half), median, Q3 (median of upper half), maximum; plot all point above number line and draw box ending on Q 1 and 3 w/ line going through median; draw whiskers going to max/min
Mode
Most frequently
Combination
Order does matter
Permutation
Order does not matter
Probability of the Complement of an Event
P(A bar) = 1 - P(A) [problem will include not]
Inter Quartile Range (IQR)
Q3-Q1
Sample Space
Set of all possible outcomes
Venn Diagram
Venn diagram inside rectangle; label all parts; find separate amounts, both, and neither; use to find probabilities
