Pregunta
During a card game, Rita picks a card, looks at it, and returns it to the deck. Next, Nancy
picks a card from the same deck.
Are these two events dependent or independent?
dependent
independent
picks a card from the same deck.
Are these two events dependent or independent?
dependent
independent
Ask by Kirk Savage. in Puerto Rico
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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These two events are independent because Rita returns the card to the deck after drawing it, so Nancy’s draw isn’t affected by Rita’s choice.
Solución
Independent
These two events are independent because Rita returns the card to the deck after looking at it. Since the deck remains unchanged after Rita’s draw, Nancy’s probability of picking any specific card remains the same regardless of which card Rita drew. The outcome of Rita’s action does not influence the outcome of Nancy’s draw.
Key Points:
- Replacement: Rita replaces the card, ensuring the deck’s composition stays consistent.
- No Influence: Rita’s action doesn’t affect the probabilities for Nancy’s pick.
- Independent Events: The occurrence of one event does not alter the likelihood of the other.
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución The Deep Dive
In this scenario, the two events are independent! Rita picks a card and then replaces it back into the deck, which keeps the total number of cards the same when Nancy picks. It’s like doing a little dance—Rita’s move doesn’t change the stage for Nancy; the possibilities remain completely unchanged!
To put it simply, when Rita returns the card back to the deck, it ensures that Nancy’s selection is not influenced by Rita’s choice. So, each event occurs without affecting the probability of the other. It’s all about keeping that deck just as exciting for both players!
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