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?
