Consider the experiment of flipping a coin. Which statement is true?a. Events can be mutually exclusive but not collectively exhaustiveb. Events can be collectively exhaustive but not mutually exclusivec. Cannot be determined from the information givend. Events can be mutually exclusive and collectively exhaustive
Question
Consider the experiment of flipping a coin. Which statement is true?a. Events can be mutually exclusive but not collectively exhaustiveb. Events can be collectively exhaustive but not mutually exclusivec. Cannot be determined from the information givend. Events can be mutually exclusive and collectively exhaustive
Solution
The correct answer is d. Events can be mutually exclusive and collectively exhaustive.
Here's why:
In the context of a coin flip, the events are mutually exclusive because the coin cannot land on both heads and tails at the same time. It's either one or the other.
The events are also collectively exhaustive because those are the only two outcomes possible. There are no other options for the result of a coin flip. It must be either heads or tails.
So, in this case, the events (landing on heads and landing on tails) are both mutually exclusive and collectively exhaustive.
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