Aptitude - Probability - Discussion
Discussion Forum : Probability - General Questions (Q.No. 10)
10.
Two dice are tossed. The probability that the total score is a prime number is:
Answer: Option
Explanation:
Clearly, n(S) = (6 x 6) = 36.
Let E = Event that the sum is a prime number.
| Then E | = { (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3), (5, 2), (5, 6), (6, 1), (6, 5) } |
n(E) = 15.
| P(E) = |
n(E) | = | 15 | = | 5 | . |
| n(S) | 36 | 12 |
Discussion:
64 comments Page 1 of 7.
Abs Rasel said:
7 years ago
Prime numbers
2={1,1}
3={1,2};{2,1}
5={1,4};{4,1};{2,3};{3,2}
7={1,6};{6,1};{2,5};{5,2};{3,4};{4,3}
11={5,6};{6,5}
Total 15 possible outcomes.
So, Probability is =15/36=5/12.
2={1,1}
3={1,2};{2,1}
5={1,4};{4,1};{2,3};{3,2}
7={1,6};{6,1};{2,5};{5,2};{3,4};{4,3}
11={5,6};{6,5}
Total 15 possible outcomes.
So, Probability is =15/36=5/12.
(3)
Bini said:
2 years ago
The possible outcomes for the sum of two dice are as follows:
Sum: 2
Possible outcomes: (1, 1).
Sum: 3
Possible outcomes: (1, 2), (2, 1).
Sum: 5
Possible outcomes: (1, 4), (2, 3), (3, 2), (4,1).
Sum: 7
Possible outcomes: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1).
Sum: 11
Possible outcomes: (5, 6), (6, 5).
So, there are 15 possible outcomes.
Sum: 2
Possible outcomes: (1, 1).
Sum: 3
Possible outcomes: (1, 2), (2, 1).
Sum: 5
Possible outcomes: (1, 4), (2, 3), (3, 2), (4,1).
Sum: 7
Possible outcomes: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1).
Sum: 11
Possible outcomes: (5, 6), (6, 5).
So, there are 15 possible outcomes.
(3)
Sabin Basnet said:
3 years ago
When we add 1 and 1 it becomes 2.
So, 2 is not a prime number.
So, there is n(e) = 14 only
And 14/36 = 7/18.
That's all.
So, 2 is not a prime number.
So, there is n(e) = 14 only
And 14/36 = 7/18.
That's all.
(3)
Riuhsi said:
3 years ago
2 is the prime number @Sabin Banset.
(2)
Ruthvik Gowda said:
5 years ago
Why (1, 1) conisdered only once ?
Since there is two dices we can get (1, 1) twice right, like this combination (2, 5) & (5, 2).
Since there is two dices we can get (1, 1) twice right, like this combination (2, 5) & (5, 2).
(2)
Mahendra said:
8 years ago
Why we enter prime numbers sum as 15? Please explain the step.
(1)
Vipin said:
9 years ago
Why we take (1,1) while prime number started from 3, 4, 5, 7?
Abhilasha said:
9 years ago
@Vipin.
2 is also a prime number that's the reason we take (1,1).
2 is also a prime number that's the reason we take (1,1).
NITIN RAJPUT said:
9 years ago
Thanks sir ,your are brilliant because you give me a platform to improve our objective paper skills..
Shikha Patel said:
9 years ago
Thanks @Azly.
By using axis method, we can easily solve the question like this.
By using axis method, we can easily solve the question like this.
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