IIT-JEE 1984 | Probability Question 119 | Mathematics

IIT-JEE 1984

MCQ (Single Correct Answer)

-0.5

A box contains $$24$$ identical balls of which $$12$$ are white and $$12$$ are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the $$4$$th time on the $$7$$th draw is

$$5/64$$

$$27/32$$

$$5/32$$

$$1/2$$

IIT-JEE 1983

MCQ (Single Correct Answer)

-0.25

Fifteen coupons are numbered $$1, 2 ........15,$$ respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is $$9,$$ is

$${\left( {{9 \over {16}}} \right)^6}$$

$${\left( {{18 \over {15}}} \right)^7}$$

$${\left( {{3 \over {5}}} \right)^7}$$

none of these

IIT-JEE 1982

MCQ (Single Correct Answer)

-0.5

If $$A$$ and $$B$$ are two events such that $$P\left( A \right) > 0,$$ and $$P\left( B \right) \ne 1,$$ then $$P\left( {{{\overline A } \over {\overline B }}} \right)$$ is equal to

$$1 - P({A \over B})$$ (Here $$\overline A $$ and $$\overline B $$ are complements of $$A$$ and $$B$$ respectively).

$$1 - P({{\overline A } \over B})$$ (Here $$\overline A $$ and $$\overline B $$ are complements of $$A$$ and $$B$$ respectively).

$${{1 - P\left( {A \cup B} \right)} \over {P\left( {\overline B } \right)}}$$ (Here $$\overline A $$ and $$\overline B $$ are complements of $$A$$ and $$B$$ respectively).

$${{P\left( {\overline A } \right)} \over {P\left( {\overline B } \right)}}$$ (Here $$\overline A $$ and $$\overline B $$ are complements of $$A$$ and $$B$$ respectively).

IIT-JEE 1980

MCQ (Single Correct Answer)

-0.5

The probability that an event $$A$$ happens in one trial of an experiment is $$0.4.$$ Three independent trials of the experiment are performed. The probability that the event $$A$$ happens at least once is

$$0.936$$

$$0.784$$

$$0.904$$

none of these

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