Suppose I ask you to choose any number from rational number's set.
yes. you will give me an answer. suppose that is 6/5
now what is the probability to choose a number from rational number's set?? that is definitely zero.
Then how have u chosen 6/5??

Actually, the probability is not exactly or definitely zero. The probability that a rational number can be obtained from the set of all rational numbers is 1/infinity since there are infinite number of rational numbers. In calculus, the limit of 1/x as x reaches infinity is zero. But as 1/x reaches infinity, it is not exactly zero and it is meaningless that it is approximated zero. That's why you conclude it that the probability is zero or impossible. In my perception, 6/5 can be chosen almost impossible mathematically but in reality, it tends to be big rate since 6/5 is a simple number. It is exaggerating for a person especially for those wanting simple life to choose some very big integers or big rationals such as 79898787/26589875123. I am talking too much but probably, this is reality.

@John Ashley Capellan,
The probability is exactly zero. in finding such probability we must use limit, because infinity is not considering as a number in real number set.
and here probability it is not impossible, it is just zero.
but your last words say something about the reality.

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TopNewestActually, the probability is not exactly or definitely zero. The probability that a rational number can be obtained from the set of all rational numbers is 1/infinity since there are infinite number of rational numbers. In calculus, the limit of 1/x as x reaches infinity is zero. But as 1/x reaches infinity, it is not exactly zero and it is meaningless that it is approximated zero. That's why you conclude it that the probability is zero or impossible. In my perception, 6/5 can be chosen almost impossible mathematically but in reality, it tends to be big rate since 6/5 is a simple number. It is exaggerating for a person especially for those wanting simple life to choose some very big integers or big rationals such as 79898787/26589875123. I am talking too much but probably, this is reality.

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I agree. Infinity I not an actual number, it is a concept so it won't actually mean that 1/infinity equals zero.

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@John Ashley Capellan, The probability is exactly zero. in finding such probability we must use limit, because infinity is not considering as a number in real number set. and here probability it is not impossible, it is just zero. but your last words say something about the reality.

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