Answer:

Step-by-step explanation:
Sample Space for the Cube, A={1,2,3,4,5,6}
n(A)=6
Even Numbers in A={2,4,6}
Sample Space for the Cards, B={1,2,3,4,5}
n(B)=5
Even numbers in the card,B= {2,4}
The two events are INDEPENDENT Events as the outcome of the cube does not affect the card picked, therefore:
P(A and B)=P(A) X P(B)
=
=