The answer depends on how many dice you roll and how often.
If you roll four dice once, the probability of getting a double AND two odd numbers is 264/1296 = 11/54
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It is 1/4.
The probability of rolling a 2 is 1 in 6. The probability of rolling an even number is 3 in 6. The probability of doing both, on two rolls, is 3 in 36, or 1 in 12.
The probability of rolling a sum of 2 is 1/36 The probability of rolling the value 2 on one die or the other (or both) is 11/36
A standard number cube has numbers 1-6, so there's a 50% (or one-half) chance of rolling both an odd or even number.
The answer depends on what is being rolled, how many times and also on what variable is being recoded.