1
IIT-JEE 2005 Screening
+2
-0.5
A six faced fair dice is thrown until $$1$$ comes, then the probability that $$1$$ comes in even no. of trials is
A
$$5/11$$
B
$$5/6$$
C
$$6/11$$
D
$$1/6$$
2
IIT-JEE 2004 Screening
+2
-0.5
If three distinct numbers are chosen randomly from the first $$100$$ natural numbers, then the probability that all three of them are divisible by both $$2$$ and $$3$$ is
A
$$4/25$$
B
$$4/35$$
C
$$4/33$$
D
$$4/1155$$
3
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
$$4/5$$
4
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
$$1/9$$
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