Probabilities with Two-Way Tables
Probabilities with Two-Way Tables
Explore how single and conditional probabilities change as balls with different patterns are added to a jar.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Pergunta aberta 1
Place 6 balls that are neither striped nor spotted into the container along with 5 spotted and striped balls. Are the events of selecting a spotted ball and selecting a striped ball dependent or independent? Why?
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Pergunta aberta 2
Place 2 spotted striped balls, 3 striped but not spotted balls, 4 spotted but not striped balls, and 6 balls that are neither striped nor spotted into the container. Are the events of selecting a spotted ball and selecting a striped ball dependent or independent? Why?
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Pergunta aberta 3
Can you add a different selection of balls to the container so that events A and B are independent? Describe your strategy.
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Pergunta aberta 4
Set up a scenario where P(A) is equal to P(A|B). What happens if you remove an object from the collection? Are A and B still independent events? Will this be true no matter which object you remove? Why or why not?
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Pergunta aberta 5
If P(A) = P(A|B), is it possible that P(B) is not equal to P(B|A)? Why or why not?
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Pergunta aberta 6
The multiplication rule for probability states that P(A and B)=P(A)P(B|A). If A and B are independent events, how could you determine P(A and B) if you knew P(A) and P(B)?
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