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:
1
6
5
12
1
2
7
9
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 5 of 7.

Rakesh said:   1 decade ago
Why we not chosen (2, 2) because it also prime number and it divisible by only 2?

Shikha Patel said:   9 years ago
Thanks @Azly.

By using axis method, we can easily solve the question like this.

Harshini said:   1 decade ago
Please tel me where to use permutation and where to use combinations. ?

Sowmya said:   1 decade ago
The sample space is a set, so repeated event (1, 1) is taken only once.

Nachiket said:   1 decade ago
Prime number is a number which is divisible by 1 and that number only.

Karma said:   8 years ago
Here, I used nCr. But its not working, why?

Can anyone explain me.

Abhilasha said:   9 years ago
@Vipin.

2 is also a prime number that's the reason we take (1,1).

Maths said:   3 years ago
1 is not a prime number.

So, the correct answer is 14/36 = 7/18.

Mirekua said:   8 years ago
Please, from where E={(1,1),(1,2)...} is came? Please explain.

Mahendra said:   8 years ago
Why we enter prime numbers sum as 15? Please explain the step.
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