Question:medium
Two distinct numbers \( x \) and \( y \) are chosen from 1, 2, 3, 4, 5. The probability that the arithmetic mean of \( x \) and \( y \) is an integer is:
Two distinct numbers \( x \) and \( y \) are chosen from 1, 2, 3, 4, 5. The probability that the arithmetic mean of \( x \) and \( y \) is an integer is:
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Sum of two numbers is even if they have the same parity. If you have \( n_e \) even numbers and \( n_o \) odd numbers, the number of favorable pairs is always \( \binom{n_e}{2} + \binom{n_o}{2} \).
Updated On: May 1, 2026
- \( 0 \)
- \( \frac{1}{5} \)
- \( \frac{3}{5} \)
- \( \frac{2}{5} \)
- \( \frac{4}{5} \)
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The Correct Option is D
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