11. A single letter is selected at random from the word 'PROBABILITY' . The probability that it is a vowel, is ?

1. 1. 3/11

   
   
   

   2. 4/11

   
   
   

   3. 2/11

   
   
   

   4. 0

   
   
   

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1. View Hint View Answer Discuss in Forum

   Total number of letters = n(S) = 11
   whereas, number of vowels = n(E) = 4
   ∴ Required probability = n(E)/n(s)

   Correct Option: B

   Total number of letters = n(S) = 11
   whereas, number of vowels = n(E) = 4
   ∴ Required probability = n(E)/n(s) = 4/11

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12. The probability of drawing a red card from a deck of playing cards is

1. 1. 2/18

   
   
   

   2. 1/13

   
   
   

   3. 1/4

   
   
   

   4. 1/2

   
   
   

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1. View Hint View Answer Discuss in Forum

   Total number of cards n(S) = 52
   Number of red cards n(E) = 26
   ∴ P(E) = n(E)/n(S)

   Correct Option: D

   Total number of cards n(S) = 52
   Number of red cards n(E) = 26
   ∴ P(E) = n(E)/n(S) = 26/52 = 1/2

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13. The probability of getting a composite number when a six-faced unbiased die is tossed, is

1. 1. 1/4

   
   
   

   2. 1/3

   
   
   

   3. 1/2

   
   
   

   4. 1

   
   
   

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1. View Hint View Answer Discuss in Forum

   n(S) = 6, n(E) = (4, 6) = 2

   Correct Option: B

   n(S) = 6, n(E) = (4, 6) = 2
   ∴ P(E) = 2/6 = 1/3

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14. When two dice are rolled, what is the probability that the sum of the numbers appeared on them is 11?

1. 1. 1/6

   
   
   

   2. 1/18

   
   
   

   3. 1/9

   
   
   

   4. 1

   
   
   

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1. View Hint View Answer Discuss in Forum

   n(S) = 36
   n(E) = {(5,6), (6,5)} = 2

   Correct Option: B

   n(S) = 36
   n(E) = {(5,6), (6,5)} = 2
   ∴ p(E) = n(E) / n(S) = 2/36 = 1/18

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