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Maths Probability Hard Single Correct MCQ
Published on: August 12, 2026

Two numbers are selected at random from the numbers 1, 2, ...... n . The probability that the difference between the first and second is not less than m (where 0< m < n ), is

A
B
C
D

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The correct answer is:
D

Let the first number be and second is

Let denotes the event that the difference between the first and second number is at least Let denote the event that the first number chosen is we must have or Therefore and Thus for and for Also

Therefore,

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