# Probability ( 11 to 15 )

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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

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

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

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

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

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)