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# True or False: If A and B are independent events,then A and B are also independent.

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Toolbox:
• Two events $A$ and $B$ associated to a random experiment are independent if probability of occurance or non-occurance of $A$ is not affected by the occurance and non-occurance of $B$.
Since $A$ and $B$ are independent events, the non-occurance of $A$ is independent of non-occurance of $B$.
There fore $\overline{A}$ and $\overline{B}$ are also independent
There fore given statement is 'True'.
answered Jun 12, 2013

+1 vote