A even number plus a even number goes even and a odd number plus a odd number goes even too.
The only chance to get a odd number is a even and an odd.
How it cannot be 2/3 and 1/3 ?
In: Mathematics
Player 1 can pick Even or Odd. Player 2 can pick Even or Odd.
The options then are:
1E, 2E – > result is Even
1E, 2O -> Result is Odd
1O, 2E -> Result is Odd
1O, 2O -> Result is Even
Your error is in combining the two options, 1E, 2O and 1O, 2E into one concept of “one picks odd, the other picks even”.
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