With a standard 6-sided die, the probability of rolling a prime number is 1/2
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The probability of rolling an even number on a die is 3 in 6 or 1 in 2. The probability of rolling a prime on a die is 3 in 6 or 1 in 2, but one of those primes is also even. Simply add the probabilities and you find that the probability of rolling an even number or a prime on a die is 5 in 6.
1/6
Since there is only one even prime, 2, the probability of rolling a 2 with one die is 1 in 6.
1 out of 2
5/12