Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:
$E: \lbrace$ The sum of the numbers is even $\rbrace$
$F: \lbrace$ The numbers are equal $\rbrace$
Find the following probabilities:
(a) $P(E) =$
(b) $P(F) =$
(c) $P(E \cap F) =$
Are events E and F independent?

A. yes
B. no