algebra 2. experimental v. theoretical probability

Probability and Statistics

Algebra 2

Experimental Probability

Experimental Probability

Experimental v. Theoretical Probability

To find the Expected Value of an event, multiply the number of trials by the theoretical probability of the event.

If you flip a coin 80 times, how many heads would you expect to get?

80 flips * (.5 probability of a head)

Expected Outcomes

A permutation is an arrangement of items in a particular order.

The multiplication counting rule states that the number of ways to choose n items is:

The number of ways to choose 4 items is

This process of multiplying is called a factorial and is indicated with an !

Permutations and Combinations

Permutations and Combinations

Permutations and Combinations

Permutations and Combinations For permutations, the order of the events is

important (first, second, third place) If order is not important, then you calculate

combinations instead.

Permutations and Combinations

Permutations and Combinations

Probability of Multiple Events

Probability of Multiple Events

Probability of Multiple Events

Probability of Multiple Events

Probability of Multiple Events

Probability of Multiple Events

Probability of Multiple Events

Probability of Multiple Events

12-1 Probability Distributions

12-1 Probability Distributions

12-1 Probability Distributions

12-1 Probability Distributions

12-1 Probability Distributions

12-2 Conditional Probability

12-2 Conditional Probability

12-2 Conditional Probability

12-2 Conditional Probability

12-2 Conditional Probability

12-2 Conditional Probability

12-2 Conditional Probability

Find P(heavy snow and school is open)Find P(school is open, given heavy snow)

On 28% of days, the sky is mostly clear. On mostly clear days, it rains 4% of the

time. On cloudy days, it rained 31% of the time.

Construct a tree diagram. Find the probability that it rains on a day

when it is mostly clear.

Tree Diagrams

12-3 Analyzing Data

12-3 Analyzing Data

12-3 Analyzing Data

12-3 Analyzing Data

12-3 Analyzing Data

12-3 Analyzing Data

12-3 Analyzing Data

Find the outlier

12-4 Standard Deviation

12-4 Standard Deviation

12-4 Standard Deviation

12-4 Standard Deviation

F• Find the z score for a value of 97• Find the z score for a value of 67

12-3 Analyzing Data