7
QuizMultiple Choice

Independent and Mutually Exclusive Events

Question 7 • CR - Algebra 2 26-27 - S2

Which scenario depicts two independent events?

Answer
A
The school play opens tonight and it is raining.
B
Neva is hungry and she buys a snack from the concession stand.
C
Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.
D
Luka paints during school and he stains his shirt.

Explanation

Two events are independent when the occurrence of one does not affect the probability of the other. Whether it rains does not affect whether the school play opens tonight, so these events are independent. The other scenarios involve events that can affect one another: hunger may lead Neva to buy a snack, Ari’s choice changes Ezekial’s remaining options, and painting can cause Luka to stain his shirt.

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