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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