SOLUTION: Two dice are cast: E1 is the event that a6 appears on at least one die. E2 is the event that a 5 appears on exactly one die and E2 is the event that same number appears on both dic

Question 1209321: Two dice are cast: E1 is the event that a6 appears on at least one die. E2 is the event that a 5 appears on exactly one die and E2 is the event that same number appears on both dice.
(i) Are E1 and E2 independent?
(ii) Are E2 and E3 independent?
(iii) Are E3 and E1 independent?

Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
Two dice are cast: E1 is the event that a6 appears on at least one die.
E2 is the event that a 5 appears on exactly one die and
E2 is the event that same number appears on both dice.
(i) Are E1 and E2 independent?
(ii) Are E2 and E3 independent?
(iii) Are E3 and E1 independent?
~~~~~~~~~~~~~~~~~

The description in your post is INCORRECT,
since it provides two different (mutually incompatible) descriptions of event E2
and no one description of event E3.

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