One of the fans at this game believes in the law of small


One of the fans at this game believes in the Law of Small Numbers. She has the wrong model of how likely Curry is to make a basket. Here’s how her model works. The fan imagines that there is a deck of 4 cards. When Paul is Hot, 3 of these cards say “hit” on them, and only 1 says “miss.” Every time Curry takes a shot, one of these cards is drawn randomly without replacement from the deck, and the outcome is whatever the card says. Therefore, when Curry is Hot, he always makes 3 out of every 4 shots he takes. (When the deck is used up, the 4 cards are replaced, the deck is shuffled, and the process begins again – but that isn’t important for this problem.) Similarly, when Curry is Normal or Cold, the outcome of every shot is determined by the draw of a card without replacement from a deck of 4 cards. When curry is Normal, the deck has 2 “hit” cards and 2 “miss” cards. When Curry is Cold, the deck has 1 “hit” card and 3 “miss” cards. Explain how her model corresponds to the Law of Small Numbers.

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