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Problem Solving (PS) | Re: If the probability is 0.7 that event X will occur and 0.85 that event

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RenB wrote:

If the probability is 0.7 that event X will occur and 0.85 that event Y will occur, what is the least possible value of the probability that both events will occur?
(A) 0.15
(B) 0.55
(C) 0.595
(D) 0.7
(E) 0.85


We can use a Venn diagram to map the information.

Question: Minimum value of \(p\) ?

To minimize \(p\), we have to maximize \(x\).

The maximum value that \(x\) can take = 0.15

Minimum value of p = 0.7 - 0.15 = 0.55.

Option B

Attachments Screenshot 2023-09-21 114448.jpg
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Statistics : Posted by gmatophobia • on 20 Sep 2023, 18:55 • Replies 1 • Views 87



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