A committee of 3 is to be formed from a group of 2 boys and 2 gir

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 Multiple Choice QuestionsMultiple Choice Questions

101.

Let X and Y represent prices (in Rs.) of a commodity in Kolkata and Mumbai respectively. It is given that X = 65, Y = 67

σ= 2.5, σY = 3.5 and r(X, Y) = 0.8. What is the equation of regression of Y on X ?

  • Y = 0.175X – 5

  • Y = 1.12X – 5.8

  • Y = 1.12 X – 5

  • Y = 0.17X + 5.8


102.

In a lottery of 10 tickets numbered 1 to 10, two tickets are drawn simultaneously. What is the probability that both the tickets drawn have prime numbers ?

  • 115

  • 12

  • 215

  • 15


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103.

A committee of 3 is to be formed from a group of 2 boys and 2 girls. What is the probability that the committee consists of 2 boys and 1 girl ?

  • 23

  • 14

  • 34

  • 12


D.

12

The number of ways to select 3 persons from a group of 2 boys and 2 girls = C34 = 4 = 4

The number of ways to select 2 boys and 1 girl from a group of 2 boys and 2 girls = C22 × 2C1 = 2

Hence Probability is given as = 24 = 12


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104.

A dealer has a stock of 15 gold coins out of which 6 are counterfeits. A person randomly picks 4 of the 15 gold coins. What is the probability that all the coins picked will be counterfeits ?

  • 191

  • 491

  • 691

  • 1591


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105.

A husband and wife appear in an interview for two vacancies for the same post. The Probability of the husband’s selection is 1/7 and that of the wife’s selection is 1/5. If the events are independent, then the probability of which one of the following is 11/35 ?

  • At least one of them will be selected

  • Only one of them will be selected

  • None of them will be selected

  • Both of them will be selected


106.

What is the probability that February of a leap year selected at random, will have five Sundays ?

  • 15

  • 17

  • 27

  • 1


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