Probability and Data Analysis

Permutations and Combinations

● Introduction to the counting principle

● Counting principle

● Factorial expressions

● Computing permutations and combinations

● Introduction to permutations and combinations

● Permutations and combinations - Problem type 1

● Permutations and combinations - Problem type 2


Probability of Simple Events

● Determining a sample space and outcomes for a simple event

● Introduction to the probability of an event

● Experimental and theoretical probability

● Finding the odds in favor and against

● Area as probability

● Introduction to expectation


Two-Way Tables

● Computing a percentage from a table of values


Probabilities of Independent and Dependent Events

● Determining a sample space and outcomes for a compound event

● Outcomes and event probability

● Probabilities involving two dice

● Identifying independent events given descriptions of experiments

● Probability of independent events

● Probability of dependent events

● Determining outcomes for compound events and complements of events

● Computing conditional probability using a two-way frequency table

● Computing conditional probability to make an inference using a two-way frequency table


Probabilities of the Union of Two Events

● Using a Venn diagram to understand the addition rule for probability


Modeling Randomness and Simulations

● Identifying outcomes in a random number table used to simulate a compound event

● Using a random number table to simulate a compound event

● Using a random number table to make a fair decision