Question 1166923
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a)  Yes, the events A and B are mutually exclusive, since the sets A and B are DISJOINT.



b)  The events A and B  ARE NOT independent.


     Indeed, P(A &#8745; B) = 0, since the events A and B are mutually exclusive;

     from the other side, P(A)*P(B) = {{{(3/10)*(3/10)}}}  is not zero.


     Since P(A &#8745; B) =/= P(A)*P(B), the events A and B are not independent.




c)  Complement of event A is event {2,4,5,6,8,9,10}, and the probability of this complement event is  {{{7/10}}} = 1 - {{{3/10}}}.
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Solved.  &nbsp;&nbsp;&nbsp;&nbsp;//  &nbsp;&nbsp;All questions are answered.