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Probability of Dependent Events
Presentation
•
Mathematics
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9th - 11th Grade
•
Medium
+1
Standards-aligned
Edward D Coleman
Used 35+ times
FREE Resource
6 Slides • 8 Questions
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Probability of Dependent Events
Math II Honors
Mr. Coleman
Unit 6 - Probability
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Lesson Objectives
Distinguish dependent events from independent events
Define and compute conditional probabilities
Compute probabilities from two-way tables
Apply conditional probability for problem solving
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Dependent Events
Outcome of one event directly affects outcome of another event
On 1st draw - 2/5 chance of pulling blue
After the first draw, the probability of a second blue marble changes if we don't replace the first one
This means these are dependent events.
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Multiple Choice
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Multiple Choice
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Conditional Probabilities
Determines the probability of an event occuring given that another event has already happened.
Math notation: P(A|B)
Means: "Probability of A, given B"
Only relevant for dependent events
P(A|B) = P(A and B)/P(B)
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Multiple Choice
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Probabilities from Two-Way Tables
When reading a two-way table to compute probabilities, the key is to identify the values that are pertinent to the problem.
ex: P(male AND sportscar) = 39/240
ex2: P(male | sportscar) = 39/84
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Multiple Choice
What is the chance a randomly selected surveyed person drives an SUV? (Reduce your fractions!)
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Multiple Choice
Suppose a randomly selected survey respondent was found to be a female respondent. What is the chance they are an SUV driver, given that they are female? (Reduce fractions!)
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12
Multiple Choice
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Multiple Choice
Find the probability if you pick a card, do not replace it, then pick another card.
p(black, then white)
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Multiple Choice
Consider the following table with information about all of the students taking Statistics at Happy High School.
Find P( Female | Part-time) =
Probability of Dependent Events
Math II Honors
Mr. Coleman
Unit 6 - Probability
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