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
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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
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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
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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
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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