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