Given the following information, determine whether events B and C are independent, mutually exclusive, both, or neither. P(B)=56 P(B AND C)=12 P(C)=23

 Given the following information, determine whether events B and C are independent, mutually exclusive, both, or neither.

P(B)=56
P(B AND C)=12
P(C)=23
Great work! That's correct.


Independent

Mutually Exclusive

Both Independent & Mutually Exclusive

Neither

Answer Explanation
Correct answer:
Neither

Since P(B AND C)≠0, and P(B AND C)≠P(B)⋅P(C),  the two events are neither independent nor mutually exclusive.

 

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