algebra 2. experimental v. theoretical probability
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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