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rjkz [21]
3 years ago
6

Considered two events such that P(A)=3/5, P(B)=2/3, and P(AnB)=1/5. Are the events A and B independent events?

Mathematics
1 answer:
yarga [219]3 years ago
6 0

By definition of independence, A and B are independent if P(A\cap B)=P(A)\cdot P(B). So neither the second nor third options can possibly be correct.

We have

P(A)\cdot P(B)=\dfrac35\cdot\dfrac23=\dfrac25

P(A\cap B)=\dfrac15

which are not equal, so no, A and B are not independent because the probabilities are not equal (last option).

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