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1
IIT-JEE 2005 Screening
MCQ (Single Correct Answer)
+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 2005 Mains
MCQ (Single Correct Answer)
+3
-1

A person goes office either by car, scooter, bus or train, proability of which being $$\frac{1}{7}, \frac{3}{2}, \frac{2}{7}$$ and $$\frac{1}{7}$$, respectively. Probability that he reaches office late, if he takes car, scooter, bus or train is $$\frac{2}{9}, \frac{1}{9}, \frac{4}{9}$$ and $$\frac{1}{9}$$, respectively. Given that he reached office in time, then what is the probability that he travelled by a car?

A
$$\frac{1}{7}$$
B
$$\frac{1}{8}$$
C
$$\frac{3}{7}$$
D
$$\frac{3}{8}$$
3
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
+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
$$4/1155$$
4
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+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
$$4/5$$

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