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Probability ( 11 to 15 ):
APTITUDE QUESTIONS (PROBABILITY):
11. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
A) (1/10)
B) (2/5)
C) (2/7)
D) (5 /7)
E) None of these
View Answer
Answer: option (C)
Explanation:
P(getting a prize) = (10/(10+25)) = (10/35) = (2/7)
12. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card?
A) (1/13)
B) (4/13)
C) (1/4)
D) (9/52)
E) None of these
View Answer
Answer: option (B)
Explanation:
Clearly, there are 52 cards, out of which there are 16 face cards.
∴ P(getting a face card) = (16/52) = (4/13)
13. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
A) (1/13)
B) (2/13)
C) (1/26)
D) (1/52)
E) None of these
View Answer
Answer: option (C)
Explanation:
Here, n(S) = 52
Let E = event of getting a queen of club or a king of heart.
Then, n(E) = 2
∴ P(E) = (n(E)/n(S)) = (2/52) = (1/26)
14. One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king?
A) (1/2)
B) (6/13)
C) (7/13)
D) (27/52)
E) None of these
View Answer
Answer: option (C)
Explanation:
Here, n(S) = 52
There are 26 red cards (including 2 kings) and there are 2 more kings.
Let E = event of getting a red card or a king.
Then, n(E) = 28
∴ P(E) = (n(E)/n(S)) = (28/52) = (7/13)
15. From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is a ten or a spade?
A) (4/13)
B) (1/4)
C) (1/13)
D) (1/26)
E) None of these
View Answer
Answer: option (A)
Explanation:
Here, n(S) = 52
There are 13 spades (including one ten) and then there are 2 more tens.
Let E = event of getting a ten or a spade.
Then, n(E) = (13+3) = 16
∴ P(E) = (n(E)/n(S)) = (16/52) = (4/13)