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Bell Work #3 2 Weeks till Testing!!. Probability. IM 2. Objectives. I can determine the probability of scenarios involving “AND” and “OR”. I can determine conditional probabilities. I can identify if events are independent or dependent.
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Probability IM 2
Objectives • I can determine the probability of scenarios involving “AND” and “OR”. • I can determine conditional probabilities. • I can identify if events are independent or dependent. • I can calculate the probability of independent/dependent events.
Probability • Today, we are going to look at several different types of probability. • What is probability? • Probability – the ratio of the number of desired outcomes to the number of total possible outcomes. • Why is probability important?
Types of Probabilities • There are 3 types of probabilities that we are going to discuss: • “AND” – the probability of multiple events occurring at one time. • Notation: • Divide your total possibilities by the total outcome. • “OR” – the probability of 2 separate events occurring. • Notation: • Add the possibilities together and subtract the overlap (if any exists). • Conditional Probability – probability that an event will occur given a condition. • Notation: – probability of A given B. • Use the condition to isolate the probability you are finding.
Determine if the problem is “and” probability, “or” probability, or “conditional” probability, then find the probability. OR AND OR Conditional
OR AND under one condition…they struck out Conditional under one condition…they did not score Conditional
Try it out 1. What’s the probability a student is going to prom given they are a sophomore? 2. What’s the probability a student is a senior and not attending prom? 3. What’s the probability a student is a senior or not attending prom?
Solving Quad. CFA 2 Today We will go over the first CFA before we take CFA 2
Independence vs. Dependence • To go along with conditional probability, we need to know if the events are INDEPENDENT of each other. • Independent – the occurrence of one event has no effect on the probability of the other. • Dependent – the occurrence of one event is directly effected by the probability of the other. • Though this can be easy to identify, we can also prove independence mathematically…..
Independence vs. Dependence We can also test for independence by looking at the probabilities of each event. Then A and B are INDEPENDENT
A survey of 57 sixth graders was done to determine which subject was their favorite. The results are shown in the table below sorted by gender. Yes…. Dependent.
A survey of 57 sixth graders was done to determine which subject was their favorite. The results are shown in the table below sorted by gender. No…. Independent.
Try it out! • The table below shows the data from a medical trial for a topical cream to cure poison ivy. Use it to answer the following questions. Dependent.
Titanic Probability Classwork • We are now going to look at some data focusing on the Titanic. • With a partner, complete both task 1 and 2. • Each person should write answers down on their own sheet of paper. • You will be turning this in for a grade!