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6.
What is the probability of getting not more than 7 in rolling of a die?
  • A.
    		 1
    2
  • C.
    		 1
    3
  • B.
    		 1
    4
  • D.
    1
  • Answer & Explanation
  • Report
Answer : [D]
Explanation :
S = {1,2,3,4,5,6}
 
  n (S) = 6    
Let A be the event of getting a number not more than 7
A = {1,2,3,4,5,6}
 
  n (A) = 6    
 
P (A) =
n (A)
n (S)
=
6
6
  = 1    
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7.
One card is drawn from a pack of 52 cards, each of the 52 cards being equality likely to be drawn. Find the probability that the drawn card is either red or king
  • A.
    		 1
    26
  • C.
    		 1
    52
  • B.
    		 1
    2
  • D.
    		 7
    13
  • Answer & Explanation
  • Report
Answer : [D]
Explanation :
Out of 52 cards one card can be drawn in 52C1 ways
Total no. of elementary events = 52C1 = 52
 
There are 26 red cards including 2 red kings and there are 2 more kings. Hence there are 28 cards
which are either red or king. Out of this 1 card can be drawn in 28 C1 ways
  Favourable number of elementary events = 28C1 = 28 ways  
 
Required  probability =
n(A)
n(S)
=
28
52
=
7
13
 
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8.
Akhilesh and Jaga are friends. What is the probability that both have different birthdays (ignoring a leap year)
  • A.
    		 2
    5
  • C.
    		 364
    365
  • B.
    		 1
    2
  • D.
    1
  • Answer & Explanation
  • Report
Answer : [C]
Explanation :
If Akhilesh’s birthday is different from jaga’s, the number of favorable
outcomes for birthday is 365 – 1 = 364
 
P (A) =
n(A)
n(S)
=
364
365
 
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9.
A bag contains 6 White balls and 4 black balls. Four balls are successively drawn without replacement. What is the probability that they are alternatively of different colours?
  • A.
    		 5
    9
  • C.
    		 5
    7
  • B.
    		 1
    7
  • D.
    		 3
    7
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
The first ball drawn may be either white of black
Suppose the ball drawn in the order white, black, white, black.
The probability of this is =
6
10
x
4
9
x
5
8
x
3
7
=
360
5040
   
Suppose the ball drawn are in the order black, white, black, white.
The probability of this is =
4
10
x
6
9
x
3
8
x
5
7
=
360
5040
   
 
Required probability =
360
5040
x
360
5040
=
360 x 2
5040
=
1
7
 
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10.
Four cards are drawn at random from a pack of 52 playing cards, Find the probability of getting all face cards.
  • A.
    		 12C4
    52C4
  • C.
    		 11C4
    52C4
  • B.
    		 13C4
    52C4
  • D.
    		 10C4
    52C4
  • Answer & Explanation
  • Report
Answer : [A]
Explanation :
Four Cards can be drawn from a pack of 52 cards in 52C4 ways
  n (S) = 52C4  
There are 12 face cards (4 kings, 4 Queens and 4 jacks) out of these 12 face cards, 4 cards can be selected in 12C4 ways
  Favourable number of elementary events = 12C4  
Required  probability =
12C4
52C4
 
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