Prob something occurs given something else occurs

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SUMMARY

This discussion centers on calculating conditional probabilities using a scenario involving three boxes (A, B, C) containing red and black balls. Specifically, it addresses the probability of drawing a red ball from box A given that a red ball was drawn from box B. Additionally, the conversation touches on analyzing the duration of telephone calls related to two products, emphasizing the need to understand mean and standard deviation in probability calculations. The participants express uncertainty about constructing a probability tree diagram and the correct approach to combining statistical measures.

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  • Understanding of conditional probability concepts
  • Familiarity with probability tree diagrams
  • Knowledge of basic statistics, including mean and standard deviation
  • Ability to interpret and apply statistical formulas
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  • Study the construction and application of probability tree diagrams
  • Learn about Bayes' Theorem for conditional probability calculations
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Maybe_Memorie
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So suppose we have 3 boxes, A,B,C. Black and Red balls in each.
In A, 3R and 7B.
B, 6R and 4B
C, 8R and 2B

First you take a ball from A. If its R, take one from B. If its B, take one from C.

Given the second is R, what is the prob the first is R?

So I have a tree diagram, but I'm quite unsure about what to do


Also, let's say we have the length of time of telephone calls associated with 2 products.
Mean and standard deviation given.
If you want to find the prob that a random call will take less than 7 minutes, are you supposed to add the mean and SDs together? then proceed as usual?
 
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Here's a link to the wikipedia page on conditional probabilityhttp://en.wikipedia.org/wiki/Conditional_probability#Definition

Have you identified (the probabilities of) the different events and their intersection?
 

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