Show that an event A is independent of every event B if P(A)=0 or P(A)=1.(adsbygoogle = window.adsbygoogle || []).push({});

**I was able to prove the first part of this problem that is that the events are independent when P(A)=0. However I am stuck on the part where P(A)=1.

I have this so far:

P(A n B) = P(A)P(B/A)

= (1)P(B/A)

= P(B/A)

If the events are independent then P(A n B) = P(A)P(B) = (PB)

So basically i have to show P(B/A) = P(B)....but I do cannot find a way to do this.

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# Proving two events are independent given that one has a probability of 1

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