Question

which scenario depicts two independent events?
the school play opens tonight and it is raining.
neva is hungry and she buys a snack from the concession stand.
ari chooses a partner for a group project and then ezekial chooses a partner from the remaining classmates.
luka paints during school and he stains his shirt.

Explanation:

To determine independent events, we check if one event's occurrence doesn't affect the other.

• For "The school play opens tonight and it is raining": The school play opening has no impact on whether it rains, and rain doesn't affect the play opening (assuming no causal link), so these are independent.
• "Neva is hungry and she buys a snack": Hunger causes buying a snack, so dependent.
• "Ari chooses a partner and then Ezekial chooses": Ari's choice reduces the pool for Ezekial, so dependent (conditional probability).
• "Luka paints and stains his shirt": Painting increases the chance of staining, so dependent.

Answer:

A. The school play opens tonight and it is raining