Question 773816
Prove that if V and W are two independent events such that V is a subset of W, then either P(V) = 0 or P(W) = 1.

Solution:

if V and W are two independent events then P(V and W)=P(V)P(W)

if  V is a subset of W  then  "V and W" = "V" then  P(V and W) = P(V)

Then:  P(V)=P(V)P(W)

P(V)=0 or P(V) is not 0

If P(V) is not 0 then  P(W)=1

Then  P(V)=0 or P(W)=1


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