During a study group, you and your friend discover that you have arrived (independently) at different...

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During a study group, you and your friend discover that you havearrived (independently) at different solutions to a math problem.From past experience, you know that you generally answer questionscorrectly 75% of the time, but your friend answers questionscorrectly 90% of the time.
a) In general, how often does it happen that you answer aquestion correctly and your friend answers incorrectly?
b) In general, how often does it happen that you answer aquestion incorrectly and your friend answers correctly?
c) In general, how often does it happen that one of the two ofyou answers a question correctly and the other answersincorrectly?
d) The TA confirms that one of your two answers is correct, butrefuses to say whose. What is the probability that yours is thecorrect answer?

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4.3 Ratings (600 Votes)

Let CM denote the event of me answering the question correctlyand Let CF denote the event of my friend answering the questioncorrectlyWe are given the See Answer

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