1
IIT-JEE 1982
+2
-0.5
If $$A$$ and $$B$$ are two events such that $$P\left( A \right) > 0,$$ and $$P\left( B \right) \ne 1,$$ then $$P\left( {{{\overline A } \over {\overline B }}} \right)$$ is equal to
A
$$1 - P({A \over B})$$ (Here $$\overline A$$ and $$\overline B$$ are complements of $$A$$ and $$B$$ respectively).
B
$$1 - P({{\overline A } \over B})$$ (Here $$\overline A$$ and $$\overline B$$ are complements of $$A$$ and $$B$$ respectively).
C
$${{1 - P\left( {A \cup B} \right)} \over {P\left( {\overline B } \right)}}$$ (Here $$\overline A$$ and $$\overline B$$ are complements of $$A$$ and $$B$$ respectively).
D
$${{P\left( {\overline A } \right)} \over {P\left( {\overline B } \right)}}$$ (Here $$\overline A$$ and $$\overline B$$ are complements of $$A$$ and $$B$$ respectively).
2
IIT-JEE 1980
+2
-0.5
The probability that an event $$A$$ happens in one trial of an experiment is $$0.4.$$ Three independent trials of the experiment are performed. The probability that the event $$A$$ happens at least once is
A
$$0.936$$
B
$$0.784$$
C
$$0.904$$
D
none of these
3
IIT-JEE 1980
+2
-0.5
Two events $$A$$ and $$B$$ have probabilities $$0.25$$ and $$0.50$$ respectively. The probability that both $$A$$ and $$B$$ occur simultaneously is $$0.14$$. Then the probability that neither $$A$$ nor $$B$$ occurs is
A
$$0.39$$
B
$$0.25$$
C
$$0.11$$
D
none of these
4
IIT-JEE 1979
+1
-0.25
Two fair dice are tossed. Let $$x$$ be the event that the first die shows an even number and $$y$$ be the event that the second die shows an odd number. The two events $$x$$ and $$y$$ are:
A
Mutually exclusive
B
Independent and mutually exclusive
C
Dependent
D
None of these.
EXAM MAP
Medical
NEET