1
IIT-JEE 1988
MCQ (More than One Correct Answer)
+2
-0.5
For two given events $$A$$ and $$B,$$ $$P\left( {A \cap B} \right)$$
A
not less than $$P\left( A \right) + P\left( B \right) - 1$$
B
not greater than $$P\left( A \right) + P\left( B \right)$$
C
equal to $$P\left( A \right) + P\left( B \right) - P\left( {A \cup B} \right)\,\,$$
D
$$P\left( A \right) + P\left( B \right) + P\left( {A \cup B} \right)\,\,$$
2
IIT-JEE 1984
MCQ (More than One Correct Answer)
+3
-0.75
If $$M$$ and $$N$$ are any two events, the probability that exactly one of them occurs is
A
$$P\left( M \right) + P\left( N \right) - 2P\left( {M \cap N} \right)$$
B
$$P\left( M \right) + P\left( N \right) - P\left( {M \cap N} \right)$$
C
$$P\left( {{M^c}} \right) + P\left( {{N^c}} \right) - 2P\left( {{M^c} \cap {N^c}} \right)$$
D
$$P\left( {M \cap {N^c}} \right) + P\left( {{M^c} \cap N} \right)$$
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