2 number cubes are rolled. Find P(an even muber and a prime number)

If your number cubes have 6 faces on
them,

To get primes, 1+1, 1+2, 1+4, 1+6,  2+1, 2+3, 2+5,
3+2, 3+4, 4+1, 4+3, 5+2, 5+6, 6+1, 6+5

To get evens 1+1,
1+3, 1+5, 2+2, 2+4, 2+6, 3+1, 3+3, 3+5, 4+2, 4+4, 4+6, 5+1, 5+3, 5+5, 6+2, 6+4,
6+6

So P(prime) = 15/36,  P(even) =
18/36

As you stated it, the P(prime and even) = 2/36   1+1
is the only even prime, but I suspect you meant P(prime or
even)

P(prime or even) = P(prime) + P(even) - P(prime and
even) so we get

P(prime or even) = 15/36 + 18/36 - 2/36 =
31/36