A box contains 80 screws, 20% of which are rusted. Two screws ar

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 Multiple Choice QuestionsLong Answer Type

501. A card is drawn from a pack of 52 cards. Find the probability that the card is:

(a) a black king                                      (b) either a black card or a red king.

(c) a jack, queen or a king                       (d) a spade or an ace.

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502.

In a lottery of 50 tickets, marked 1 to 50, one ticket is drawn at random. Find the probability that the number on the ticket is:

(a) divisible by 6                            (b) prime number                     (c) not a prime number

(d) divisible by 9 or 11                  (e) a perfect square                   (f) a composite number.

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503.

An urn contains 9 red, 7 white and 4 black balls. One ball is drawn at random. What is the probability that the ball drawn is:

(a) red (b) white (c) red or black (d) white or black (e) not red?

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504. A basket contains 3 oranges, 4 apples and 5 guavas. Two fruit pieces are drawn at random. What is the probability that:

(i) both are apples.                      (ii) one is an apple and one a guava

(iii) one is an orange and the second one is any of the other two?

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505.

A box contains 80 screws, 20% of which are rusted. Two screws are drawn at random. What is the probability that :

(i) both are rusted (ii) only one is rusted (iii) both are not rusted?


Solution not provided.
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#6 {main}</pre>        (ii) 128 over 395     (iii) 252 over 395

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506.

From a well shuffled pack of 52, two cards are drawn at random. Find the probability that :

(i) both are face cards. (4 Kings + 4 Queens + 4 Jacks)

(ii) one is red and the other a black card.

(iii) one is an ace and the other a black queen.

(iv) both are spade cards. (v) one is a heart and the other a spade.

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507.

In a lottery of 50 tickets marked with number 1 to 50, two tickets are drawn at random. Find the probability that:

(a) both tickets have prime number.

(b) none of the tickets have a prime number.

(c) one of the tickets has a prime number.

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508.

A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box. What is the probability that:
(i) all the marbles will be blue?               (ii) at least one marble will be green?

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 Multiple Choice QuestionsShort Answer Type

509. 4 cards are drawn from a well- shuffled pack of 52 cards. What is the probability of obtaining 3 diamonds cards and one spade?
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510.

A number lock of a suitcase has 3 wheels, each labelled with 9 digits i.e., from ‘ 1 to 9’. The lock opens with a sequence of 3 digits allowed:

(a) with no repeats (b) with repeats

What is the probability of a person getting the right sequence to open the suitcase?

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