MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

Explain any theories that can be applied or approach to this. No math is needed just an explanation of how this can be solved

Please explain the approach tothisquestion? Whattheories can be applied? You havetwo bags of marbles and a fair coin.the first bag has two white marbles and seven black marbles. the second bag has five white marbles and six black marbles. we flip the coin to observe a headsor tails. If the coin's outcome is heads, we draw a marblefrom the first bag. If the coins outcome is tails, we drawa marble from the second bag. We want to find the probability that the outcome of the coin flip is heads given that a white marble is selected?
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Transcribed Image Text:Please explain the approach tothisquestion? Whattheories can be applied? You havetwo bags of marbles and a fair coin.the first bag has two white marbles and seven black marbles. the second bag has five white marbles and six black marbles. we flip the coin to observe a headsor tails. If the coin's outcome is heads, we draw a marblefrom the first bag. If the coins outcome is tails, we drawa marble from the second bag. We want to find the probability that the outcome of the coin flip is heads given that a white marble is selected?
Expert Solution
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Step 1

Probability:

The concept of probability is defined as the ratio of the number of favorable outcomes and total number of possible outcomes. 

Bayes' theorem:

Bayes' theorem can be used If the happening of an event that can be related to the happening of another event( conditional event) then, the probability of the event. Let A is an event with nonzero probability that partition the sample space S, and B be any event with nonzero probability, then, the conditional probability is written as,

Statistics homework question answer, step 1, image 1

Here, PB=PA1PB|A1+PA2PB|A2+.....+PAnPB|An is treated as total probability.

 

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