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 7 of 7.
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)
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)
Deepak said:
2 months ago
We get the number from the first dice = 1,2,3,4,5,6
And the same from the second dice.
We have prime numbers in both dice is 1, 2, 3, 4, 5 and a total of 1+2=3 is a prime number.
So, total 12.
We have 5 prime numbers and a total score number.
So, 5/12 is the answer.
And the same from the second dice.
We have prime numbers in both dice is 1, 2, 3, 4, 5 and a total of 1+2=3 is a prime number.
So, total 12.
We have 5 prime numbers and a total score number.
So, 5/12 is the answer.
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