1
IIT-JEE 1983
+1
-0.25
Fifteen coupons are numbered $$1, 2 ........15,$$ respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is $$9,$$ is
A
$${\left( {{9 \over {16}}} \right)^6}$$
B
$${\left( {{18 \over {15}}} \right)^7}$$
C
$${\left( {{3 \over {5}}} \right)^7}$$
D
none of these
2
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).
3
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
4
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
EXAM MAP
Medical
NEET