Sum of probabilities of all events of a trial is : from Mathema

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91. Ten cards numbered 1, 2, 10 are put in a box. If a card is drawn at random, then the probability that the card drawn is a prime number is:
  • space 7 over 10
  • 3 over 5
  • 2 over 5
  • 2 over 5
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92. An experiment has two outcomes E and F. P(E) + P(F) is equal to:
  • 1

  • 0

  • 2

  • 2

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93. In a survey, out of all students, 15% said ‘no’, 57% said ‘yes’ and the remaining said ‘They could not decide’. If a student is chosen at random, what is the chance that the student did not say ‘yes’?
  • 15%
  • 43%
  • 57%
  • 57%
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94.

When a coin is tossed 500 times, the following outcomes were recorded:
Head: 270 times, Tail: 230 times
If now a coin is tossed, the probability of getting a Head is

  • 27 over 50

  • 23 over 50
  • 1

  • 1

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95.

A coin is tossed 500 times with the following frequencies:
Head: 235, Tail = 265
The coin is tossed once again, the probability of getting a Tail is

  • 0.50

  • 0.47
  • 0.45
  • 0.45
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96. Sum of probabilities of all events of a trial is :
  • less than 1
  • greater than 1
  • lies between 0 and 1
  • lies between 0 and 1


D.

lies between 0 and 1
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97.

A dice is tossed 100 times. The frequency of occurrence of numbers 1,2,3,4,5,6 are given as under:
1 : 22, 2:28, 3: 12, 4: 14, 5: 11,6: 13
A die is tossed again. The probability of an odd prime number is

  • 0.23
  • 0.50
  • 0.49 
  • 0.49 
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98. 11 bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg) 4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 4.98, 5.04, 5.08, 5.07, 5.00. The probability that a bag chosen at random, contains more than 5 kg of flour is:
  • space space 2 over 11
  • 4 over 11
  • 9 over 11
  • 9 over 11
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99.

A coin is tossed 1000 times with the following frequencies: 
Head: 460, Tail: 540
The coin is tossed again once. The probability of getting a tail is

  • 27 over 100
  • 27 over 50
  • 23 over 50
  • 23 over 50
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100. Two coins are tossed ‘x’ number of times simultaneously. If the probability of having one head is 0.55, where it occurs 275 times, then the value of x is:
  • 15125
  • 500
  • 275
  • 275
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