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:

Define independent events

Using the Independent Events knowledge point

Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event.

Analyze the first scenario

Using the Independent Events knowledge point

• Scenario: "The school play opens tonight and it is raining"
• Analysis: The opening of a school play has no causal or statistical relationship with the weather (rain). The occurrence of one does not change the probability of the other. Thus, these are independent events.

Analyze the second scenario

• Scenario: "Neva is hungry and she buys a snack from the concession stand"
• Analysis: Being hungry directly increases the probability of buying a snack. Since the first event affects the likelihood of the second, these are dependent events.

Analyze the third scenario

• Scenario: "Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates"
• Analysis: Ari's choice reduces the pool of available classmates. This directly changes the options and probabilities for Ezekial's choice. Thus, these are dependent events.

Analyze the fourth scenario

• Scenario: "Luka paints during school and he stains his shirt"
• Analysis: Painting increases the probability of staining a shirt with paint. Since painting makes the stain much more likely, these are dependent events.

Answer:

• (A) The school play opens tonight and it is raining (Correct answer)
• (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