Two small squares on a chess board are chosen at random. Probabil

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 Multiple Choice QuestionsMultiple Choice Questions

661.

The probability that a leap year will have 53 Friday or 53 Saturday, is

  • 47

  • 17


662.

Ten coins are thrown simultaneously, the probability of getting atleast 7 heads is

  • 63256

  • 121172

  • 113512

  • 1164


663.

If four digits are taken fromthe digits 1, 2, 3, 4, 5, 6, 7. The probability that the sum of digits is less than 12, is

  • 335

  • 435

  • 235

  • 135


664.

The probability of happening exactly one of the two events A and B is

  • PA + PB - 2PA  B

  • PA + PB - PA  B

  • P(A) - P(B)

  • None of the above


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665.

In a throw of two dice, the probability of getting a sum of 7 or 11 is

  • 29

  • 79

  • 59

  • None of these


666.

The probability that at least one of the events A and B occurs is 0.7 and they occur simultaneously with probability 0.2. Then, PA + PB is equal to

  • 0.8

  • 0.6

  • 1.1

  • 1.4


667.

Seven weddings occur in a week. What is the probability that they happen on the same day?

  • 17

  • 174

  • 176

  • None of these


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668.

Two small squares on a chess board are chosen at random. Probability that they have a common side is

  • 13

  • 19

  • 115

  • 118


D.

118

Two squares can be chosen in a single row by 7 ways as there are 8 squares in each row. But there are 8 rows. So, number of waysto
choose two squares in any of the row = 7 x 8 = 56. Similarly, number of ways to choose two squares in any of the column = 56

  Total number of favourable cases = 56 + 56            = 112and total number of cases = C264 = 64 × 632           = 32 × 63 Required probability = 11232 × 63 = 118


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669.

A die is thrown 7 times. What is the chance that an odd numberturns up exactly 4 times ?

  • 35128

  • 37128

  • 47

  • 43128


670.

If the integer λ and μ are chosen at random between 1 and 100, then the probability that a number of the form 7λ + 7μ is divisible by 5 is

  • 1/4

  • 1/7

  • 1/8

  • 1/49


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