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

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tann412
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Re: If the probability that Stock A will increase in value during the next [#permalink] If the probability that Stock A will increase in value during the next   16 Sep 2018, 09:47
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Using Venn Diagrams is also a great way to solve such a question.
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File comment: Stock A Stock B Venn
Probability - Stock A Stock B.jpg
Probability - Stock A Stock B.jpg [ 39.89 KiB | Viewed 5785 times ]

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mmdfl
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Re: If the probability that Stock A will increase in value during the next [#permalink] If the probability that Stock A will increase in value during the next   24 Jun 2023, 18:11
i illustrated what was said in the previous answers to more visual folks like me
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007saisurya
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Re: If the probability that Stock A will increase in value during the next [#permalink] If the probability that Stock A will increase in value during the next   11 Jul 2023, 19:51
Answers have been complicated
a happening - .54
a not happening - .46
b happening - .68
b not happening - .32
for A not happening and B not happening to be max - find the lowest of the not happenings - 0.32
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Re: If the probability that Stock A will increase in value during the next [#permalink] If the probability that Stock A will increase in value during the next   24 Jan 2024, 10:14
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

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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] If the probability that Stock A will increase in value during the next   19 May 2024, 03:48
Raihanuddin
Please check the attachment
­Finally i understand this question by vissualizing it this way instead of all those long posts(which i appreciate as well).

Thank you a lot!
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Re: If the probability that Stock A will increase in value during the next [#permalink]
19 May 2024, 03:48
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