IIT-JEE 1989 | Probability Question 103 | Mathematics

IIT-JEE 1989

MCQ (More than One Correct Answer)

-0.5

If $$E$$ and $$F$$ are independent events such that $$0 < P\left( E \right) < 1$$ and $$0 < P\left( F \right) < 1,$$ then

$$E$$ and $$F$$ are mutually exclusive

$$E$$ and $${F^c}$$ (the complement of the event $$F$$) are independent

$${E^c}$$ and $${F^c}$$ are independent

$$P\left( {E|F} \right) + P\left( {{E^c}|F} \right) = 1.$$

IIT-JEE 1988

MCQ (More than One Correct Answer)

-0.5

For two given events $$A$$ and $$B,$$ $$P\left( {A \cap B} \right)$$

not less than $$P\left( A \right) + P\left( B \right) - 1$$

not greater than $$P\left( A \right) + P\left( B \right)$$

equal to $$P\left( A \right) + P\left( B \right) - P\left( {A \cup B} \right)\,\,$$

$$P\left( A \right) + P\left( B \right) + P\left( {A \cup B} \right)\,\,$$

IIT-JEE 1984

MCQ (More than One Correct Answer)

-0.75

If $$M$$ and $$N$$ are any two events, the probability that exactly one of them occurs is

$$P\left( M \right) + P\left( N \right) - 2P\left( {M \cap N} \right)$$

$$P\left( M \right) + P\left( N \right) - P\left( {M \cap N} \right)$$

$$P\left( {{M^c}} \right) + P\left( {{N^c}} \right) - 2P\left( {{M^c} \cap {N^c}} \right)$$

$$P\left( {M \cap {N^c}} \right) + P\left( {{M^c} \cap N} \right)$$

JEE Advanced Subjects