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# One math knowledge question help? (Repost)

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A confusing word problem for me Walking for exercise and running for exercise not independent events because P(A|B)=P(A) andP(B|A)=P(B) .

Walking for exercise and running for exercise are independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .

Walking for exercise and running for exercise are independent events because P(A|B)=P(A)P(A|B)=P(A) andP(B|A)=P(B) .

Walking for exercise and running for exercise are not independent events because P(A|B)≠P(A) andP(B|A)≠P(B)

Thank you!!!!!

May 28, 2019

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If independent  then

P( A l B ) = P(A)  and  P( B l A )  = P(B)

In other words....the probability of an event occuring isn't affected by another event occuring

P(A)  = .4/1.00  = .40        P(B) = .42/1.00 = .42

P(A and B)  = (.40)(.42)  = .168

P(A l B)  =  P ( A and B)          .168

__________  =   ______  =  .40  =  P(A)

P(B)                      .42

And

P(B l A )  =  P(A and B)              .168

___________  =  ________  =  .42  = P(B)

P(A)                         .40

So....these events are independent   May 28, 2019