SOLUTION: probability a student will pass an economics exam is 1/2 probability the student pass economics and management exam is 3/5 probability that the student pass economics or manageme

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Question 1182724: probability a student will pass an economics exam is 1/2
probability the student pass economics and management exam is 3/5
probability that the student pass economics or management exam is 4/5
find the probability the students pass a management exam

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website!
P(A)+P(B)-P(A+B)=P(A or B)
P(E)=0.5
0.5+P(M)-P(E+M)=P(E or M)
P(E+M)=0.6
P(E or M)=0.8
so
0.5+P(M)-0.6=0.8
P(M)=0.9

Answer by ikleyn(52806)   (Show Source):
You can put this solution on YOUR website!
.
probability a student will pass an economics exam is 1/2
probability the student pass economics and management exam is 3/5
probability that the student pass economics or management exam is 4/5
find the probability the students pass a management exam
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The problem is posed FATALLY INCORRECTLY.

The probability of the intersection of two events ( passing Economics AND Management, 3/5 )   CAN NOT BE GREATER

the probability of any of the two basic events ( passing Economics, 1/2 ).

Posed this way as written in the post, the "problem" is a FAKE and is good for re-cycling,   ONLY.