Two fair dice, one blue and one red, are tossed, and the up face on each die is

Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:
E:E: {{ The numbers are equal }}
F:F: {{ The difference of the numbers is 3 or more }}
Find the following probabilities:
P(E)=P(E)=
16​
P(F)=P(F)=
12​
P(EandF)=P(EandF)=
112​
P(E|F)=P(E|F)=
P(F|E)=P(F|E)=
Are events E and F independent?

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