IIT-JEE 1998 | Probability Question 74 | Mathematics

IIT-JEE 1998

MCQ (Single Correct Answer)

-0.5

A fair coin is tossed repeatedly. If the tail appears on first four tosses, then the probability of the head appearing on the fifth toss equals

$$1/2$$

$$1/32$$

$$31/32$$

$$1/5$$

IIT-JEE 1998

MCQ (Single Correct Answer)

-0.5

Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals

$$1/2$$

$$7/15$$

$$2/15$$

$$1/3$$

IIT-JEE 1998

MCQ (Single Correct Answer)

-0.5

If $$E$$ and $$F$$ are events with $$P\left( E \right) \le P\left( F \right)$$ and $$P\left( {E \cap F} \right) > 0,$$ then

occurrence of $$E$$ $$ \Rightarrow $$ occurrence of $$F$$

occurrence of $$F$$ $$ \Rightarrow $$ occurrence of $$E$$

non-occurrence of $$E$$ $$ \Rightarrow $$ non-occurrence of $$F$$

none of the above implications holds

IIT-JEE 1998

MCQ (Single Correct Answer)

-0.5

There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is

$$1/3$$

$$1/6$$

$$1/2$$

$$1/4$$

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