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An absent mindedprofessor remembers to take her purse away with her 65% of the t

ID: 2953334 • Letter: A

Question

An absent mindedprofessor remembers to take her purse away with her 65% of
the times she attends a meeting. Yesterday she attended threemeetings in succession. At the
end of the third meeting she realized she did not have her purse,although she had it with her
when she went to the first meeting. What is the probability sheleft her purse behind when
she left the second meeting? please provide definition A and B An absent mindedprofessor remembers to take her purse away with her 65% of
the times she attends a meeting. Yesterday she attended threemeetings in succession. At the
end of the third meeting she realized she did not have her purse,although she had it with her
when she went to the first meeting. What is the probability sheleft her purse behind when
she left the second meeting? please provide definition A and B please provide definition A and B

Explanation / Answer

A: scenario where she doesn’t take her purse with her to3rd party given that she has it in 1stmeeting.

B: scenario where she left the purse in 2nd meetinggiven she has it in 1st meeting.

There are two ways she doesn’t take her purse to3rd party given that she has it in 1stmeeting.

First way: she forgets to carry it from 1st to2nd meeting. Probability for this to happen is 0.65

Second way: she forgets to carry it from 2nd to3rd meeting. Probability for this to happen is 0.35*0.65= 0.2275

So P(A)= 0.2275+0.65 = 0.8775

P(B|A) ==P(A B)/P(A) = 0.2275/(0.2275+0.65)=25.92%

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