Three candidates solve a question. Odds in favour of the cor

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 Multiple Choice QuestionsMultiple Choice Questions

71.

A point is chosen at random inside a rectanglmeasuring 6 inches by 5 inches. What is the probabilitthat the randomly selected point is at least one incfrom the edge on the rectangle

  • 23

  • 13

  • 14

  • 25


72.

A fair coin is tossed l00 times. What is the probabilitof getting tails an odd number of time?

  • 12

  • 38

  • 14

  • 18


73.

What is the number of ways in which 3 holiday travetickets are to be given to 10 employees of aorganization, if each employee is eligible for any onor more of the tickets

  • 60

  • 120

  • 500

  • 1000


74.

A special dice with numbers 1, 1, 2, 2, 0 and 3 ithrown thrice. What is the probability that the sum othe numbers occurring on the upper face is zero ?

  • 172

  • 18

  • 772

  • 25216


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75.

There is 25% chance that it rains on any particuladay. What is the probability that there is at least onrainy day within a period of 7 days ?

  • 1 - 147

  • 147

  • 347

  • 1 - 347


76.

A salesman has a 70% chance to sell a product to any customer. The behaviour of successive customers iindependent. If two customers A and B enter, what ithe probability that the salesman will sell the producto customer A or ?

  • 0.98

  • 0.91

  • 0.70

  • 0.49


77.

A student appears for tests I, II and III. The studenis considered successful if he passes in tests I, II or III  or all the three. The probabilities of the studenpassing in tests I, II and III are m, n and 1/respectively. If the probability of the student to bsuccessful is 1/2, then which one of the following icorrec?

  • m(1 + n) = 1

  • n(1 + m) = 1

  • m = 1

  • mn = 1


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78.

Three candidates solve a question. Odds in favour othe correct answer are 5 : 2, 4 : 3 and 3 : 4 respectivelfor the three candidates. What is the probability thaat least two of them solve the question correctly ?

  • 209343

  • 134343

  • 149343

  • 60343


A.

209343

Probability that the first candidate solve the question correctly, P(A)=5/7

Probability that the second candidate solve the question correctly, P(B)=4/7

Probability that the third candidate solve the question correctly, P(C)=3/7

Probability that at least two candidates solve correctly,

PE = PAPBPC + PAPBPC + PAPBPC + PAPBPC PE = 57 × 47 × 47 + 57 × 37 ×37 + 27 × 47 × 37 + 57 × 47 × 37 PE = 80343 + 45343 + 24343 + 60343 = 209343

So, required probability is 209343


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79.

A medicine is known to be 75% effectivto cure a patient. If the medicine is given to 5 patients, what is the probability that at least one patient icured by this medicine ?

  • 11024

  • 2431024

  • 10231024

  • 7811024


80.

for two events, A and B, it is given thaP(A35, P(B310anPAB = 23If A and B are the complementary events of A and B, then whaiPA  B = ?

  • 37

  • 34

  • 13

  • 47


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