Aptitude - Probability - Discussion
Discussion Forum : Probability - General Questions (Q.No. 13)
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.
 n(E) |
= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 |
| = (13C1 x 13C1) | |
| = (13 x 13) | |
| = 169. |
| P(E) = |
n(E) | = | 169 | = | 13 | . |
| n(S) | 1326 | 102 |
Discussion:
42 comments Page 3 of 5.
Naj said:
10 years ago
Why do we have to divide (52 x 51) by 2?
Farheen said:
9 years ago
P(c) = n(c)/n(s).
= 1/52 a king of hearts . Is it true?
= 1/52 a king of hearts . Is it true?
Harish said:
9 years ago
Answer should be probability = 13/51.
Aisha said:
9 years ago
From where did 13 come? Can anyone explain? please.
Vineet pandey said:
9 years ago
Firstly see the question.
In a pack of 52 cards, there are 13 spades and 13 heart.
So, now according to question.
probability of getting 1 spades is =13c1 and same probability of getting heart is also 13c1
Here we write 13c1 because we have to pick a single(1) card out of total spade (13) and use same concept in heart.
Now (13c1 * 13c1 )/ 52c2.
So, the answer is 13/102.
52c2 is written here because there are total 52 cards out of which we pick two(2) card{ 1 of spade and 1 of heart } so that's why it is written as 52c2.
In a pack of 52 cards, there are 13 spades and 13 heart.
So, now according to question.
probability of getting 1 spades is =13c1 and same probability of getting heart is also 13c1
Here we write 13c1 because we have to pick a single(1) card out of total spade (13) and use same concept in heart.
Now (13c1 * 13c1 )/ 52c2.
So, the answer is 13/102.
52c2 is written here because there are total 52 cards out of which we pick two(2) card{ 1 of spade and 1 of heart } so that's why it is written as 52c2.
(1)
Ashish said:
9 years ago
Thanks @Vineet.
Uchenna said:
8 years ago
Does it mean that every pack must have 13 spade and 13 hearts?
VANAMALA SRINIVAS said:
8 years ago
No, the correct answer is 3/102.
Qaisara said:
8 years ago
I am unable to understand about 13. So anyone please explain me.
Rishit said:
7 years ago
@Ali and @Karim.
Here 2 cards are drawn TOGETHER. Which is why the 52c2. Your answer is correct for a scenario if the question was first drawn is club and second drawn is heart or vice versa.
Here 2 cards are drawn TOGETHER. Which is why the 52c2. Your answer is correct for a scenario if the question was first drawn is club and second drawn is heart or vice versa.
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