1. Suppose that a coin is flipped and die is rolled. LetE1 denote the event "the coin shows a head", letE2 denote the event "the die shows a 3", and letE3 denote the event "the coin shows a tail and the die shows an odd number".

(a) List the elements of [tex]E_1,\, E_2,\, E_3,\, E_1\, \cup\, E_2,\, E_2\, \cap\, E_3,\, \bar{E}_1[/tex]

(b) AreE_{1}andE_{2}mutually exclusive?

(c) AreE_{1}andE_{3}mutually exclusive?

Can someone help me with this?

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