1
IIT-JEE 2003 Screening
+2
-0.5
Two numbers are selected randomly from the set $$S = \left\{ {1,2,3,4,5,6} \right\}$$ without replacement one by one. The probability that minimum of the two numbers is less than $$4$$ is
A
$$1/15$$
B
$$14/15$$
C
$$1/5$$
D
$$4/5$$
2
IIT-JEE 2003 Screening
+2
-0.5
If $$P\left( B \right) = {3 \over 4},P\left( {A \cap B \cap \overline C } \right) = {1 \over 3}$$ and
$$P\left( {\overline A \cap B \cap \overline C } \right) = {1 \over 3},\,\,$$ then $$P\left( {B \cap C} \right)$$ is
A
$$1/12$$
B
$$1/6$$
C
$$1/15$$
D
$$1/9$$
3
IIT-JEE 1999
+2
-0.5
If the integers $$m$$ and $$n$$ are chosen at random from $$1$$ to $$100$$, then the probability that a number of the form $${7^m} + {7^n}$$ is divisible by $$5$$ equals
A
$$1/4$$
B
$$1/7$$
C
$$1/8$$
D
$$1/49$$
4
IIT-JEE 1998
+2
-0.5
If from each of the three boxes containing $$3$$ white and $$1$$ black, $$2$$ white and $$2$$ black, $$1$$ white and $$3$$ black balls, one ball is drawn at random, then the probability that $$2$$ white and $$1$$ black ball will be drawn is
A
$$13/32$$
B
$$1/4$$
C
$$1/32$$
D
$$3/16$$
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