To simulate the probability of the basketball player making each free throw with a success rate of 75%, we need to find a method that accurately represents this probability.
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Rolling a six-sided die and counting outcomes of 1, 2, 3, or 4 as a made shot: This method would work. There are 6 possible outcomes on the die, where 4 out of those 6 outcomes (1, 2, 3, or 4) represent making a shot, which is about a 66.67% success rate. This is not a perfect match for 75%.
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Flipping a coin, with heads representing a made shot: This method would represent a 50% success rate (1 out of 2), which is not suitable for simulating 75%.
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Spinning a spinner divided into four equal sections and counting three of them as made shots: This method would give a success rate of 75% (3 out of 4), which matches the player's free throw percentage perfectly.
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Drawing a card from a standard deck and counting red cards as made shots: This method represents a 50% success rate (26 red cards out of 52 total), which is not suitable for simulating 75%.
The best simulation to represent the probability of her making each free throw is:
Spinning a spinner divided into four equal sections and counting three of them as made shots.