Asked by hunter
How does the theoretical probability of the event "flip heads" change when a coin is flipped more times in an experiment?
does not change
increase; there are more chances for heads to be flip
increase; all value increases
decrease; there are more chance from talis to be flipped
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GPT-5 mini
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Answer: does not change.
Explanation: the theoretical probability of heads for a given coin flip is a property of the experiment (for a fair coin P(heads)=1/2) and does not depend on how many times you flip. What does change with more flips is the experimental (observed) frequency of heads, which tends to get closer to the theoretical probability as the number of flips grows (law of large numbers). Note: the probability of getting at least one head in many flips does increase with more flips, but the chance of heads on any single flip stays the same.
Explanation: the theoretical probability of heads for a given coin flip is a property of the experiment (for a fair coin P(heads)=1/2) and does not depend on how many times you flip. What does change with more flips is the experimental (observed) frequency of heads, which tends to get closer to the theoretical probability as the number of flips grows (law of large numbers). Note: the probability of getting at least one head in many flips does increase with more flips, but the chance of heads on any single flip stays the same.
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