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Mathematics 16 Online
OpenStudy (anonymous):

Please help me~ Use the Venn diagram to answer the question below. In the Venn diagram below, P(A) = 0.625, and P(B) = 0.8. What is P(A and B)? [Image in comment section.]

OpenStudy (anonymous):

Do I just add P(A & B)?

OpenStudy (anonymous):

It is in the diagram.

OpenStudy (anonymous):

The intersection of A and B is the space in the middle.

OpenStudy (anonymous):

0.5?

OpenStudy (anonymous):

....Liv, how does 1.925 make sense?

OpenStudy (anonymous):

Yes, I believe it is 0.5 because a probability is always less than or equal to 1.

OpenStudy (anonymous):

It is redundant and meaningless to say that X occurs 2 times out of 1.

OpenStudy (anonymous):

So (A and B) = 0.5

OpenStudy (anonymous):

I think so. @KingGeorge , am I leading him correctly?

OpenStudy (kinggeorge):

The probability of both A and B is given by the number that is in the intersection of A and B. So P(A and B)=.5

OpenStudy (anonymous):

Thank you, George. You always keep me from going horribly wrong. :)

OpenStudy (kinggeorge):

I try my best.

OpenStudy (anonymous):

wait look at this:

OpenStudy (kinggeorge):

P(A\(\cup\)B)=the probability that A OR B happens. P(A\(\cap\)B)=the probability that A AND B happens

OpenStudy (anonymous):

Thanks guys! & for this question? For two independent events A and B, P(A or B) = 0.61, P(A) = 0.40, and P(B) = 0.35. Find P(A and B).

OpenStudy (anonymous):

0.61 right?

OpenStudy (kinggeorge):

Livformusic just provided you with the handy dandy formula that P(A or B)=P(A)+P(B)-P(A and B) Rearrange for P(A and B) and solve.

OpenStudy (anonymous):

yeah sorry KingGeorge is right. i had them switched

OpenStudy (anonymous):

Oh okaay! 0.14 then! Thanks againg guys!

OpenStudy (anonymous):

*again.

OpenStudy (kinggeorge):

.14 is correct.

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