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The probability that a student passes mathematics class is 0.80, the probability that he passes history class is 0.70, and the probability that he passes mathematics and history is 0.56. Are the two events independent of each other?

 

A. Yes, they are independent because P(M) ⋅ P(H) ≠ P(M ∩ H)

B. No, they are dependent because P(M) ⋅ P(H) = P(M ∩ H)

C. Yes, they are independent because P(M) ⋅ P(H) = P(M ∩ H)

D. No, they are dependent because P(M) ⋅ P(H) ≠ P(M ∩ H)

 Apr 2, 2016
edited by Guest  Apr 2, 2016

2+0 Answers

 #1
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For two events to be independent, we must have

 

P(A) * P(B)  = P(A and B)

 

Hence

 

P(Passing Math) * P(Passing History)  = P(Passing Math and History)     ????

 

(.80)                   *        (.70)          =        (.56)

 

And this is true, so.......

 

 

The events are independent   and  "C"  is correct

 

 

 

cool cool cool

 Apr 2, 2016
 #2
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Passing one of the classes is independent of passing the other. However, the probability of passing both classes depends on the probability of passing the two classes seperatly.

 Apr 3, 2016

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