QuestionDetermine whether events and are mutually exclusive.
A: Benson earned an A in his history class this term.
: Benson earned a C in his history class this term.
These events (Choose one) mutually exclusive.
Studdy Solution
STEP 1
What is this asking?
Can Benson get both an A and a C in his history class at the same time?
Watch out!
Don't mix up "mutually exclusive" with other statistical terms.
Mutually exclusive means the events *cannot* happen together.
STEP 2
1. Define Mutually Exclusive
2. Analyze Benson's Grades
STEP 3
Mutually exclusive events are like oil and water – they just don't mix!
If one happens, the other *can't* happen.
Think of it like flipping a coin: you can get heads *or* tails, but *never both* at the same time.
STEP 4
Let's think about Benson.
Event is Benson getting an A, and event is Benson getting a C.
Can *both* of these happen in the *same class*, in the *same term*?
Nope! A student gets one final grade for a class each term.
STEP 5
If Benson gets an A, he *can't* get a C.
And if he gets a C, he *can't* get an A!
These events are **definitely mutually exclusive**!
It's one or the other, not both.
STEP 6
These events *are* mutually exclusive.
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