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Mathematics : Statistics

Short Answer Type

431.

Five cards - the ten, jack, queen, king and ace of diamonds are well-shuffled with their face down wards. One card is then picked up at random.

(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace (b) a queen.

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432. 12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen take out is a good one.

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433.

(i) A lot of 20 bulbs contain 4 defectuve ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?

(ii) Suppose the bulb drawn in (i) is not defective and is not replaced.
Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective ?

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434. A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two-digit number, (ii) a perfect square number, (iii) a number divisible by 5.

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435. A child has a die whose six faces show the letters as given below :

box enclose bold A bold space box enclose bold B bold space box enclose bold C bold space box enclose bold D bold space box enclose bold E bold space box enclose bold A

The die is thrown once. What is the probability of getting (i) A? (ii) D?

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436.

Suppose you drop a die at random on the rectangular region show in Fig. 15.6. What is the probability that it will tend inside the circle with diameter 1 m?

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437.

A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that
(i) She will buy it?
(ii) She will not buy it?

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438.

(i) Complete the following table :

(ii) A student argues that ‘there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12.

Therefore, each of them has a probability $1 over 11$ . Do you agree with this argument ? Justify your answer.

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439. A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails and toses otherwise. Calculate the probability that Hanif will lose the game.

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Long Answer Type

440.

A die is thrown twice. What is the probability that
(i) 5 will not Come up either time?
(ii) 5 will come up at least once?

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