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# If the probability that Stock A will increase in value during the next

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Re: If the probability that Stock A will increase in value during the next [#permalink]
MHIKER
If the probability that Stock A will increase in value during the next month is 0.54, and the probability that Stock B will increase in value during the next month is 0.68. What is the greatest value for the probability that neither of these two events will occur?

A. 0.22
B. 0.32
C. 0.37
D. 0.46
E. 0.63

Attachment:
2017-09-08.png

This problem can be reduced to an problem in Set making it super easy to solve.

Imagine there are 100 datasets (A, B) A is true or false depending on wheather there is a increase in A ( same for B )

there will be 54 such As with true
there will be 68 usch Bs with true

Union of A U B is set of all pairs ( A, B ) where there is a rise in both stocks.

Similarly where there is no rise = Whole Set - (Rise in A) - (Rise in B) + (Rise in both A and B)

This is maximum when the (Rise in both A and B) = (Rise in A)
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Re: If the probability that Stock A will increase in value during the next [#permalink]
Raihanuddin