Q 1 :    

A card is selected at random from a well shuffled deck of 52 cards. The probability of its being a face card is

  • 3/26

     

  • 3/13

     

  • 2/13

     

  • 1/2

     

(2)     3/13

 



Q 2 :    

If the probability of a player winning a game is 0.79, then the probability of his losing the same game is:

  • 1.79

     

  • 0.31

     

  • 0.21%

     

  • 0.21

     

(4)

Probability of loosing the game

= 1 – Probability of winning the game

= 1 – 0.79 = 0.21

 



Q 3 :    

From the data 1, 4, 7, 9, 16, 21, 25, if all the even numbers are removed, then the probability of getting at random a prime number from the remaining is :

  • 2/5

     

  • 1/5

     

  • 1/7

     

  • 2/7

     

(2)

Given data : 1, 4, 7, 9, 16, 21, 25

After removing even numbers data is: 1, 7, 9, 21, 25

Prime number : 7

Thus, required probability = 1/5

 



Q 4 :    

Two dice are rolled simultaneously. What is the probability that 6 will come up at least once?

  • 1/6

     

  • 7/36

     

  • 11/36

     

  • 13/36

     

(3)

Total possible number of outcomes = 36

Number of outcomes in which 6 will come up at least once = 11

 Required probability =1136

 



Q 5 :    

Two dice are rolled together. The probability of getting sum of numbers on the two dice as 2, 3 or 5, is:

  • 7/36

     

  • 11/36

     

  • 5/36

     

  • 4/9

     

(1)

When two dice are tossed together,

Total possible outcomes = 62 = 36

No. of cases getting sum two : {(1, 1)}

No. of cases getting sum three : {(1, 2)(2, 1)}

No. of cases getting sum five : {(1, 4)(4, 1), (2, 3), (3, 2)}

Thus total cases getting sum 2, 3 or 5 = 7

Therefore, required probability = 7/36



Q 6 :    

All queens, jacks and aces are removed from a pack of 52 playing cards. The remaining cards are well-shuffled and one card is picked up at random from it. The probability of that card to be a king is :

  • 1/10

     

  • 1/13

     

  • 3/10

     

  • 3/13

     

(1)       1/10

 



Q 7 :    

The probability of getting a chocolate flavoured ice cream at random, in a lot of 600 ice creams is 0.055. The number of chocolate flavoured ice creams in the lot is :

  • 33

     

  • 55

     

  • 11

     

  • 44

     

(1)        33

 



Q 8 :    

Two dice are thrown at the same time and the product of the numbers appearing on them is noted. The probability that the product of the numbers lies between 8 and 13 is :

  • 7/36

     

  • 5/36

     

  • 2/9

     

  • 1/4

     

(1)      7/36

 



Q 9 :    

Two dice are rolled together. The probability of getting the sum of the two numbers to be more than 10, is

  • 1/9

     

  • 1/6

     

  • 7/12

     

  • 1/12

     

(4)

Total number of outcomes = 36

Sum of two numbers to be more than 10 = {(6, 5) (5, 6) (6, 6)}

Required Probability = 3/36 = 1/12

 



Q 10 :    

A box contains cards numbered 6 to 55. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square, is

  • 7/50

     

  • 7/55

     

  • 1/10

     

  • 5/49

     

(3)

Given, A box contains card numbered 6 to 55.

Total number of cards = 50

Perfect square number are = 9, 16, 25, 36, 49

 Required Probability = 5/50 = 1/10