tdbates825 tdbates825
  • 16-07-2020
  • Mathematics
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If A and B are independent events, then it must be true that P(A|B)=P(A)?

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mathmate
mathmate mathmate
  • 16-07-2020

Answer:

True : If A and B are independent events, then P(A|B)=P(A) is true.

Step-by-step explanation:

If A and B are independent, P(A and B) = P(A) * P(B)

P(A|B)    conditional probability, P(A) given B has already happened

= P(A and B) / P(B)

= P(A)*P(B) / P(B)

= P(A)  

Therefore

If A and B are independent events, P(A|B)=P(A) is true.

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