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--DEFINITION--
--DEFINITION--
"MUTALLY EXCLUSIVITY occurs when two events cannot happen at the same time. In other words, when one event happens, the other becomes impossible. Formal rule: If A and B are mutually exclusive, then, P(A and B)=0
--EXAMPLE(S)--
--EXAMPLE(S)--
MUTUALLY EXCLUSIVE
“Rolling a die and getting a ⚂ P('3') AND a ⚄ P('5') on the same roll.”
Why? Because you only get one face. These events cannot happen at the same time → mutually exclusive.
P(⚂ and ⚄)= ZERO
NON-MUTUALLY EXCLUSIVE
“Rolling a die and getting an even number P('E') AND a number greater than 3 P('>3') on the same roll.”
Why? Because both ⚃ and ⚅ satisfy these events, and so they can happen at the same time → not mutually exclusive.
P('E' and '>3')= 2/6
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