Three cooks X, Y and Z bake a special kind of cake, and with resp

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 Multiple Choice QuestionsMultiple Choice Questions

91.

If 5 of a Company’s 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the probability that none of the trucks chosen meet emission standards ?

  • 18

  • 38

  • 112

  • 14


92.

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is a prime number ?

  • 512

  • 12

  • 712

  • 23


93.

If a coin is tossed till the first head appears, then what will be the sample space ?

  • {H}

  • {TH}

  • {T, HT, HHT, HHHT, ...}

  • {H, TH, TTH, TTTH, ...}


94.

A bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random and removed from the bag in succession without replacement, then what is the probability that all three books are defective ?

  • 0.0087

  • 0.016

  • 0.026

  • 0.047


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95.

A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a coin, what is the probability of getting at most two tails ?

  • 0.16

  • 0.48

  • 0.58

  • 0.98


96.

If PA  B = 56, PA  B = 13 and PA = 12 then which one of the following is not correct ?

  • PB = 23

  • PA  B = PAPB

  • PA  B > PA + PB

  • PA  B = PAPB


97.

If three dice are rolled under the condition that no two dice show the same face, then what is the probability that one of the faces is having the number 6 ?

  • 56

  • 59

  • 12

  • 512


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98.

Three cooks X, Y and Z bake a special kind of cake, and with respective probabilities 0.02, 0.03 and 0.05, it fails to rise. In the restaurant where they work, X bakes 50%, Y bakes 30% and Z bakes 20% of cakes. What is the probobility of failures caused by X ?

  • 929

  • 1029

  • 1929

  • 2829


B.

1029

Given that X bakes a cake with probability to fail to rise = 0.02 = 2100

And he bakes 50% 0f cakes at the restaurant.Similarly Y bakes a cake withprobability to fail to rise = 0.03 = 3100

And he bakes 30% 0f cakes at the restaurant.

Similarly X bakes a cake with probability to fail to rise = 0.05 = 5100

And he bakes 20% of cakes at the restaurant.

Hence, the required probability that X bakes a cake and it fails to rise

 = 2100 × 501002100 × 50100 + 3100 × 30100 + 5100 × 20100= 2 × 502 × 50 + 3 × 30 + 5 × 20= 100100 + 90 + 100= 100290= 1029

 


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99.

If A and B are two events such that P(A) = 0.6, P(B) = 0.5 and P(AB) = 0.4, then consider the following statements :

1. PA  B = 0.92. PB U A = 0.6

Which of the above statements is/are correct ?

  • 1 only

  • 2 only

  • Both 1 and 2

  •  Neither 1 nor 2


100.

Consider a random variable X which follows Binomial distribution with parameters n = 10 and p = 15 Then Y = 10 X follows Binomial distribution with parameters n and p respectively given by

  • 5, 15

  • 5, 25

  • 10, 35

  • 10, 45


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