A student uses technology to simulate flipping a coin. After 1000 flips, the proportion of heads is

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A student uses technology to simulate flipping a coin. After 1000 flips, the proportion of heads is 0.51. After 2000 flips, the proportion of heads is 0.52. The student thinks that the simulation must be broken, because the proportion did not get closer to the probability of getting heads (0.5). What would you tell the student?
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