A fair six-sided die is rolled once. Event $E$ is an even score and event $O$ is an odd score. E

Question

A fair six-sided die is rolled once. Event $E$ is an even score and event $O$ is an odd score. Explain why $E$ and $O$ are mutually exclusive.[1] Are $E$ and $O$ independent? Explain using what knowing that $E$ has occurred tells you about $O$.[2]

Accepted Answer

(a) One score cannot be both even and odd. (b) No; knowing $E$ occurred makes $O$ impossible.

Mutual exclusivity and independence

Mutual exclusivity and independence

Solution:

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