What is the probability that events A and B both occur?

Question

(1) The probability that event A occurs is 0.8.
(2) The probability that event B occurs is 0.6.

Paras96 · Answer

IMO E;
Both statements taken individually wouldnt make sense 
Also combining -
It is not mentioned about events A & B as mutually exclusive or being independent.

If it is independent event P(AUB)=P(A)+P(B)-P(AnB)=1=>P(AnB) =0.4
If it is mutually exclusive P(AnB) =0

OBMECOMMERCE · Answer

Bump, can someone provide a detailed explanation? I would think C.

shivamjha04 · Answer

Agreed that the answer should be E but I guess you can't say P(A n B) =0.4, actually in independent event P(A n B) = P(A)*P(B).
and when you are equating P(A U B) = P(A)+P(B)-P(AnB)=1, actually P(A U B) != 1, it should be <=1.

rushimehta · Answer

Bunuel - Please help me out with this question. Is the answer C because we don't know the type of event ?

mike2j · Answer

The answer options are missing from this question.

Bunuel · Answer

Hi,

This is a data sufficiency question. Options for DS questions are always the same and usually omitted on the site.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

I suggest you to go through the following post  ALL YOU NEED FOR QUANT .

Hope this helps.

bumpbot · Answer

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What is the probability that events A and B both occur?

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GMAT Data Sufficiency (DS) Questions

What is the probability that events A and B both occur?

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