Aptitude - Probability
Exercise : Probability - General Questions
- Probability - Formulas
- Probability - General Questions
11.
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
Answer: Option
Explanation:
Here, n(S) = 52.
Let E = event of getting a queen of club or a king of heart.
Then, n(E) = 2.
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n(E) | = | 2 | = | 1 | . |
n(S) | 52 | 26 |
12.
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Answer: Option
Explanation:
Let S be the sample space.
Then, n(S) | = number of ways of drawing 3 balls out of 15 | |||
= 15C3 | ||||
|
||||
= 455. |
Let E = event of getting all the 3 red balls.
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(5 x 4) | = 10. |
(2 x 1) |
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n(E) | = | 10 | = | 2 | . |
n(S) | 455 | 91 |
13.
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
Answer: Option
Explanation:
Let S be the sample space.
Then, n(S) = 52C2 = | (52 x 51) | = 1326. |
(2 x 1) |
Let E = event of getting 1 spade and 1 heart.
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= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 |
= (13C1 x 13C1) | |
= (13 x 13) | |
= 169. |
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n(E) | = | 169 | = | 13 | . |
n(S) | 1326 | 102 |
14.
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Answer: Option
Explanation:
Clearly, there are 52 cards, out of which there are 12 face cards.
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12 | = | 3 | . |
52 | 13 |
15.
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Answer: Option
Explanation:
Let number of balls = (6 + 8) = 14.
Number of white balls = 8.
P (drawing a white ball) = | 8 | = | 4 | . |
14 | 7 |
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