The letters of word ‘SOCIAL’ are re-arranged. What are the o

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 Multiple Choice QuestionsShort Answer Type

511.

Three coins are tossed simultaneously. What are the odds :

(a) in favour (b) against of getting all three heads?

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512.

Twenty tickets are numbered 1 to 20. One ticket is drawn at random. What are the odds:

(a) in favour (b) against getting a prime number on the ticket ?

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513. Three letters are dictated to three persons and an envelope is addressed to each of them. The letters are inserted into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in its proper envelope.
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514. Four letters are directed to four persons and an envelope is addressed to each of them. The letters are inserted, one in each envelope, at random. Find the probability that at least one of the letters is in the correct envelope.
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515. The letters of word ‘SOCIAL’ are re-arranged. What are the odds against the three vowels being together?


Solution not provided.
Ans. 4:1

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516.

Six books, 3 of which are on chemistry, are arranged on a shelf. Find the probability that:

(i) the books on chemistry are together.

(ii) not all three books on chemistry are together.

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 Multiple Choice QuestionsLong Answer Type

517.

Five digit numbers are formed by using digits 2, 3, 4, 5 and 6. Find the probability that the number formed will be :

(i) even           (ii) odd          (iii) greater than 50000.

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 Multiple Choice QuestionsShort Answer Type

518.

A pinochle deck of card consists of 2 aces, 2 kings, 2 queens, 2 jacks. 2 tens and 2 nines of each of the four suits and there are no other cards of lower values. One card is drawn at random from the pack. What is the probability that the card is:
(a) a king?                                            (b) not a king?

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519.

A die is rolled twice. What is the probability that:

(a) the number appearing on the first toss is greater than that on the second toss?

(b) the product of the numbers appearing is ≥ 24?

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520. 25 balls numbered 1 to 25 are placed in a box. One ball is drawn at random. What is the probability, that it will be a multiple of 5 or 7?
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