IIT-JEE 2005 Screening | Probability Question 64 | Mathematics

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IIT-JEE 2005 Screening

MCQ (Single Correct Answer)

-0.5

A six faced fair dice is thrown until $$1$$ comes, then the probability that $$1$$ comes in even no. of trials is

$$5/11$$

$$5/6$$

$$6/11$$

$$1/6$$

IIT-JEE 2005 Mains

MCQ (Single Correct Answer)

-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?

$$\frac{1}{7}$$

$$\frac{1}{8}$$

$$\frac{3}{7}$$

$$\frac{3}{8}$$

IIT-JEE 2004 Screening

MCQ (Single Correct Answer)

-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

$$4/25$$

$$4/35$$

$$4/33$$

$$4/1155$$

IIT-JEE 2003 Screening

MCQ (Single Correct Answer)

-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

$$1/15$$

$$14/15$$

$$1/5$$

$$4/5$$

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