Question:
1. events E and F are such that P(not E or not F)=0.25. State weather e and F are mutually exclusive
Answer:
In general, P(A or B) = P(not A and not B)
Now, given
0.25 = P(not E or not F) = P(E and F)
=> P(E and F) = 0.25
Again, P(A and B) = 0 if and only if events A and B are mutually exclusive.
Since P(E and F) = 0.25, therefore E and F are NOT mutually exclusive.
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