When you flip a coin 100 times how many heads or tails will occur? Probability is one of the fun and easy topics you must have learned in school with the example of tossing or flipping a coin. Also, cricket matches use the concept of heads and tails to decide who is going to bat or bowl first. Even during your childhood, you must have flipped coins to make decisions sometimes.
Interestingly, the heads or tails coin toss helped Chandler and Joey to figure out which baby is Ben. Not to mention the famous song that made us go crazy over a year, Toss a coin to the witcher…. See how tossing a coin saved many people’s lives. Let’s talk about probability and coin flipping, or if you flip a coin 100 times how many heads or tails will appear? Continue reading the article to find all the answers.
1. What is the Concept of Probability?
It is a branch of mathematics that studies the numerical descriptions of how likely an event is going to occur. Some of the applications of probability in daily life are as follows. Check out what is the Golden Ratio face?
- Weather forecasting,
- Politics: prediction of election results,
- Insurance and risk management,
- Lottery tickets,
- Prediction of natural disasters. (See What is a Circle Degree Chart?)
2. What is Coin Flipping or Coin Tossing?
Coin flipping is the process of throwing the coin in the air and decking between two alternatives depending on the side on the top when the coin lands. The decision or the party which chose the side which is facing up after landing is chosen or wins. According to research, coin helps more than just taking everyday decisions. Here are some reasons why coin tossing is important. Also read When Were Numbers invented?)
- They make unbiased decisions.
- It can solve disputes as the outcome is random.
3. How did Coin Flipping Originate?
Despite being linked to statistics and probability, the flipping of a coin dates back to the Ancient Roman Empire where it was known as Heads or Ships. (See The origin of dollar sign)
4. What is a Biased and Unbiased Coin?
A fair coin or unbiased coin is a coin when flipped will have the probability of giving both the events likely to occur equally i.e, there is an equal chance of occurrence for both the states.
A biased coin when flipped will have an unequal chance i.e when flipped the coin won’t have the probability of ½ or 0.5. (See Value of Buck Dollar)
5. How to Test if a Coin is Biased or Not?
One of the ways to calculate if a coin is biased or not is by flipping the coin a large number of times such as 1000 times and noting down how many times the heads are occurring. Let’s say if you are getting 300 heads out of 1000 flips then you can conclude that the coin is biased as the chances of a fair coin are exactly 0.5 or ½. Statistical methods like hypotheses are employed in doing this process.
Another way in which you can test the fairness of a coin is by measuring the attributes of the coin i.e, the center of gravity, density, mass distribution, etc. In this way, you can effectively calculate if you flip a coin 100 times how many heads or tails will appear. (See How to Write 1 Million in Numbers?)
6. Flip a Coin one time How many Heads or Tails will Occur?
If a coin is slipped one time, the probability of getting tails or heads is always 50-50 chance. You can write the statement of probability as,
- P(H)=1/2
- P(T)=1/2
Where H and T are the events of occurrence of heads and tails. Before arriving at the answer for the flip a coin 100 times how many heads or tails would appear, one must know about a fair coin and a biased coin as it depends on the type of coin used in the tossing. (See What Is Algebra Used For In Real Life?)
7. Flip a Coin 100 times How many Heads or Tails will Occur?
Assuming that your coin is fair, the probability of getting tails or heads when a coin is flipped 100 times would be, 0.5 × 100 = 50. If a fair coin is flipped the chance of getting a head or a tail is 50-50.
If the coin is biased then when flipped 100 times, the chances of getting a tail or a head would be 49 or 51 as the coin tends to fall on the side that is heavier than the other.
8. What are the Interesting Facts about Tossing a Coin?
- The term heads or tails was coined by Thomas Otway while tossing a coin. (See How Long is a Decade and a Century?)
- Orville and Wilburt Wright tossed a coin to decide who is going to fly first in their historic flight in 1903 in Kill Devil Hills, around North Carolina.
- It is rumored that the City of Oregon and even Portland were named based on the tossing of a coin.
- To highlight the significance and history of coin tossing, Flip a Coin Day is celebrated every year on the 1st of June.
- In Greece, the coin toss is known as The Shell Game. (See How many Minutes are there in a Year?)
Some people believe that coin-flipping is not fair. But in truth, the flipping of coins cannot be controlled by anyone unless coin has two tails or heads. The outcome of coin tossing is random and cannot be predicted. Do you believe in tossing a coin? Have you ever tried to flip a coin 100 times how many heads or tails would appear? (See How Many Grams Is 1 Litre?)