Aptitude - Probability - Discussion
Discussion Forum : Probability - General Questions (Q.No. 9)
9.
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
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 2 kings out of 4.
 n(E) = 4C2 = |
(4 x 3) | = 6. |
| (2 x 1) |
| P(E) = |
n(E) | = | 6 | = | 1 | . |
| n(S) | 1326 | 221 |
Discussion:
32 comments Page 4 of 4.
Pinky said:
2 years ago
Here they asked about the probability of 2 kings out of 52 cards.
No.of kings in a deck of cards = 4
P(E)= no of favourable outcomes/no.of possible outcomes.
So, 4/52 = 1/13.
No.of kings in a deck of cards = 4
P(E)= no of favourable outcomes/no.of possible outcomes.
So, 4/52 = 1/13.
(4)
Ramakrishna Macharla said:
2 years ago
In a standard deck of 52 cards, there are 4 kings.
The probability of drawing the first king is 4/52. After drawing the first king, there are 3 kings left in a deck of 51 cards.
So, the probability of drawing the second king is 3/51.
To find the probability of both events happening together, you multiply the probabilities: (4/52) * (3/51) = 1/221.
Therefore, the probability of drawing both kings is 1/221.
The probability of drawing the first king is 4/52. After drawing the first king, there are 3 kings left in a deck of 51 cards.
So, the probability of drawing the second king is 3/51.
To find the probability of both events happening together, you multiply the probabilities: (4/52) * (3/51) = 1/221.
Therefore, the probability of drawing both kings is 1/221.
(22)
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