This was accidentally posted in the wrong forum. Sorry
Conditions: Suppose that a coin is flipped and a die is rolled. Let E_1 denote the Event "the coin shows a tail," let E_2 denote the event "the die shows a 3" and let E_3 denote the event "the coin shows heads and the die shows an odd number."
Problem: Are E_1 and E_2 mutually exclusive?
I am pretty much lost here and really dont even know where to start.
How about starting with the definition of "mutually exclusive".Suppose that a coin is flipped and a die is rolled.
Let E1 denote the event: "the coin shows a tail".
Let E2 denote the event: "the die shows a 3".
Problem: Are E1 and E2 mutually exclusive?
. . You don't know it?
Two events are mutually exclusive if they cannot happen at the same time.
Flip a coin and roll a die.
Is it possible to get a "tail" on the coin and a "3" on the die?