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# Probability .01

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### Probability .01

1. 1. Joseph is deciding whether he's taking medicine or engineering  course. The probability that he's choosing enginireeng is 65 %,  while the probability that he's going to pass the Board Exam in  Medicine is 89% and in Engineeirng is 69%. a.) what is the probability that Joseph will  pass the course? b.) If Joseph doesn't pass the  exam, waht is the probability that  he choose Medicine? 1
2. 2. a.) what is the probability that Joseph will  pass the course? P(MP,EP) = P(MP) + (EP)                  = .76             = 76% the probability of M or E, if the  *this phrase means that one  events are *mutually exclusive,  events taking place prevents  may be found by adding  the other event from taking  probabilities. place. 2
3. 3. b.) If Joseph doesn't pass the exam,  what is the probability that he  choose Medicine? this is an example of a  P(N/M) =     P(MN) bayes' formula: It is used                     P(MN) + P(EN) to find the conditional             probability of Event M               = 0.0385 occuring, given that Event               (0.0385) + (.2015) N has already occurred.                           = 0.16 or 16%               probability = number of favorable outcome                         total possible outcome 3
4. 4. and this is the tree diagram. P .89 P(MP) = .3115 M N.11 P(MN)= .0385 P .69 P(EP)=.4485 F N .31 P(EN)=.2015 4
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