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 4 of 7.
Sasikala said:
1 decade ago
Could any one of you explain me in simplistic processes?
Indrajit said:
10 years ago
Hey @Prasad,
Here is the clarification of your doubt. You have to choose those number of pairs whose sum is a prime number. If you choose (1, 3), (2, 2) & (3, 1) then their sum will be 4 which is not a prime number.
Thanks!
Here is the clarification of your doubt. You have to choose those number of pairs whose sum is a prime number. If you choose (1, 3), (2, 2) & (3, 1) then their sum will be 4 which is not a prime number.
Thanks!
Osei james said:
9 years ago
If two numbers are selected at random, one after the other with replacement from the set A = (5, 6, 7, 8, 9). Find the probability of selecting at least one prime number.
Can anyone help me to solve this problem.
Can anyone help me to solve this problem.
Azly said:
9 years ago
If we draw this in a cartesian plan we can easily find the answer. Take d axis and Y axis. Number from 1 to 6 in each axis. The find the sum of the numbers using plan.
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.
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..
Kiran said:
9 years ago
You are considering (1, 1) is a prime set and why not you consider (2, 2), (3, 3), (5, 5) as a prime set?
Nilesh Patil said:
9 years ago
(1,1), (2,1), (2,3), (3,2), (4,1), (1,4), (4,3), (3,4), (5,2), (2,5), (6,1), (1,6), (6,3), (3,6), (6,5),(5,6)
If(1,1) is considered then n(E) becomes 16 then, what's wrong in above?
If(1,1) is considered then n(E) becomes 16 then, what's wrong in above?
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