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Tossing a Biased Coin Michael MitzenmacherWhen we talk about a coin toss, we think of it as unbiased: with probability one half it comes up heads, and with probability one half it comes up tails.
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How to fill out tossing a biased coin?

01
Gather a biased coin: Find a coin that is known to have a higher probability of landing on one side compared to the other. This can be achieved by adjusting the weight distribution of the coin.
02
Understand the bias: Determine the bias of the coin by conducting repeated tosses and recording the results. Calculate the percentage of times the coin lands on each side to understand the degree of bias.
03
Determine the desired outcome: Decide which side of the coin you want to land on more frequently based on your specific needs or preferences.
04
Perform the tosses: Hold the biased coin between your thumb and index finger, ensuring a consistent toss each time. Toss the coin into the air, making sure it rotates freely.
05
Record the results: After each toss, observe which side the coin lands on. Record the outcome of each toss by noting the side that is facing up.
06
Analyze the results: Analyze the recorded results to determine if the coin is exhibiting the desired bias. Compare the number of times each side landed face up to the expected probabilities based on the coin's known bias.

Who needs tossing a biased coin?

01
Researchers conducting experiments: Tossing a biased coin can be useful in certain research studies or experiments where the outcome needs to be controlled or manipulated. For example, it can be employed in psychology experiments to test decision-making processes.
02
Gamblers or gaming enthusiasts: Tossing a biased coin can be advantageous for individuals involved in gambling or games where the coin toss outcome can affect the odds. By using a biased coin, they can influence the outcome in their favor.
03
Probability enthusiasts or mathematicians: Tossing a biased coin can be an interesting and educational exercise for those interested in probability theory or mathematics. It allows them to explore the concept of bias and its impact on the outcome of random events.
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Tossing a biased coin refers to the act of flipping a coin that is weighted or designed to favor one side over the other.
Anyone conducting an experiment or study involving tossing a biased coin may be required to file a report.
The report for tossing a biased coin should include details about the coin, the tossing method, and the reason for using a biased coin.
The purpose of tossing a biased coin is often to introduce randomness or control variables in an experiment or study.
Information such as the type of coin used, the bias or weight distribution, and the results of the coin tosses may need to be reported.
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