Questions: Alice is playing a game where she's drawing random cards from a deck, studying them, then shuffling them back into the deck before drawing again. She's keeping track of how many cards she draws until she gets one of her favorites. What strategy is demonstrated here? ○ Stratified sampling ○ Simple random sampling ○ Replacement strategy ○ Gambler's fallacy

Solution Steps

Alice is drawing random cards from a deck, studying them, and then shuffling them back into the deck before drawing again. This process involves drawing cards with replacement, meaning each draw is independent of the previous ones.

Since Alice is drawing cards with replacement, each card has an equal chance of being drawn in every trial. This aligns with the concept of simple random sampling, where each member of the population (in this case, each card in the deck) has an equal probability of being selected.

The strategy being demonstrated here is the replacement strategy, as Alice is shuffling the drawn card back into the deck after each draw, ensuring that the deck remains unchanged for subsequent draws. This is different from stratified sampling or the gambler's fallacy.

Final Answer