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What is the probability of obtaining nine tails in a row when flipping a coin?

Posted on September 28, 2022 by Author

Table of Contents

  • 1 What is the probability of obtaining nine tails in a row when flipping a coin?
  • 2 Is it always 50/50 when flipping a coin?
  • 3 What are the odds of losing 11 coin flips in a row?
  • 4 What are the odds of getting 15 heads in a row?
  • 5 How many flips did it take before nine in a row?
  • 6 How many times can you flip a curve in a row?

What is the probability of obtaining nine tails in a row when flipping a coin?

Interpret this probability The probability of obtaining nine tails in a row when flipping a coin is 0.00195 (Round to five decimal places as needed) Interpret this probability Consider the event of a coin being flipped nine times.

Is it always 50/50 when flipping a coin?

If a coin is flipped with its heads side facing up, it will land the same way 51 out of 100 times, a Stanford researcher has claimed. According to math professor Persi Diaconis, the probability of flipping a coin and guessing which side lands up correctly is not really 50-50. The coin flips work in much the same way.

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What are the odds of winning 10 coin flips in a row?

a 1/1024 chance
Junho: According to probability, there is a 1/1024 chance of getting 10 consecutive heads (in a run of 10 flips in a row). However, this does not mean that it will be exactly that number.

What are the odds of losing 11 coin flips in a row?

Assuming a fair coin, there is a 50\% chance of winning or losing on each flip. The chances of losing two times in a row is 0.5 x 0.5 = 0.25. The chances of losing 11 times in a row, in the first 11 tosses, is 0.5^11= 0.00048828125. Or about 2000 to 1 ( 1/0.00048828125 = 2048) as the article points out.

What are the odds of getting 15 heads in a row?

But this is not exactly correct, because what if there are 2 runs of exactly 15 heads? We’d be counting that case twice. Divide this by 2^40 to get a reasonably close approximation of your probability, 0.00041199. If you want, we can be exact.

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What are the odds of getting 9 heads in a row?

The total number of permutations of heads and tails in ten flips is 2¹⁰. So the chances of getting nine in a row in ten flips is: 2 / 2¹⁰ = 1 / 2⁹. 1 / 2⁹ is only half as likely as 1 / 2⁸.

How many flips did it take before nine in a row?

This program took the number of flips it made before getting nine in a row, wrote that number to a disk file, and then started over with another set of flips. Here is some data from the beginning of the file, ten entries: Thus, the first time it started flipping, the program took 735 flips before it saw nine in a row.

How many times can you flip a curve in a row?

The apex of the curve is just above the horizontal “14,000” line. Thus, out of our new collection of 2.6 million averaged results, about 15,000 times we saw averages of about 511 flips to get nine in a row. The standard deviation for this curve is 71.17.

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How many data points on the Y-axis for each flip?

To begin our explanation and analysis, we’ll take an expanded look at the extreme left side of this chart — one through twelve flips. On the extreme left side of the chart, the number of data points (the y-axis) is zero for 1, 2, 3, 4, 5, 6, 7, and 8 flips.

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