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M0IITU19 - Probability qns

# M0IITU19 - Probability qns - Probability 1 6 coins are...

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1 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 1. 6 coins are tossed simultaneously . The propability of getting atleast 6 heads is : (A) 57 64 (B) 229 256 (C) 7 64 (D) 37 256 2. The probabilities of three mutually exclusive events are 2 3 , 1 4 & 1 6 . The statement is : True Wrong Could be either Do not know 3. A & B toss a coin alternatively, the first to show a head being the winner. If A starts the game, the chance of his winning is : 5 8 1 2 1 3 2 3 4. A & B are two events such that and P (A) = 0.4, P (A + B) = 0.7 and P (AB) = 0.2, then P (B) = 0.1 0.3 0.5 None of these 5. Suppose that A, B, C are events such that P (A) = P (B) = P (C) = 1 4 , P (AB) = P (CB) = 0, P (AC) = 1 8 , then P (A + B) = 0.125 0.25 0.375 6. A single letter is selected at random from the word “PROBABILITY” . The probability that the selected letter is a vowel is : 2 11 3 11 4 11 0 7. If A & B are two events such that, P (A B) = P (A B), then the true relation is : P (A) = P (B) = 0 P (A) + P (B) = P (A) P B A P (A) + P (B) = 2 P (A) P B A 8. A coin is tossed and a dice is rolled . The probability that the coin shows the head and the dice shows 6 is : 1 8 1 12 1 2 1 9. A card is drawn at random from a pack of cards . The probability of this card being a red or a queen is : 1 13 1 26 1 2 7 13 10. The probability of happening an even A is 0.5 and that of B is 0.3 . If A & B are mutually exclusive events, then Probability

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2 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 the probability of happening neither A nor B is : (A) 0.6 (B) 0.2 (C) 0.21 (D) None of these 11. If P (A) = 0.4, P (B) = x, P (A B) = 0.7 and the events A & B are independent, then x = 1 3 1 2 2 3 12. A box contains 6 nails and 10 nuts . Half of the nails and half of the nuts are rusted . If one item is chosen at random, what is the probability that it is rusted or is a nail . 3 16 5 16 11 16 14 16 13. A man draws a card from a pack of 52 playing cards, replaces it and shuffles the pack . He continues this process until he gets a card of spade . The probability that he will fail the first two times is : 9 16 1 16 9 64 14. In a box of 10 electric bulbs, two are defective . Two bulbs are selected at random one after the other from the box . The first bulb after selection being put back in the box before making the second selection . The probability that both the bulbs are without defect is : 9 25 16 25 4 5 8 25 15. If A & B are any two events, then the true relation is : P (A B) > P (A) + P (B) - 1 B) < P (A) + P (B) (C) P (A B) = P (A) + P (B) - P (A B) 16. A box contains 15 tickets numbered 1, 2, . .... , 15 . Seven tickets are drawn at random one after the other with replacement . The probability that the greatest number on a drawn ticket is 9, is : 9 10 6 8 15 7 3 5 7 17. A purse contains 4 copper coins & 3 silver coins, the second purse contains 6 copper coins & 2 silver coins . If a coin is drawn out of any purse, then the probability that it is a copper coin, is : 4 7 3 4 37 56
3 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 18. If A & B are any two events, then the probability that exactly one of them occur is : (A) P (A) + P (B) - P (A B) (B) P (A) + P (B) - 2 P (A B) (C) (D)

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M0IITU19 - Probability qns - Probability 1 6 coins are...

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