Coin Toss Probability Formula

Coin Toss Probability Formula

Coin Toss Probability Formula is part of the overall chapter on Probability. Students first need to understand the definition of probability before learning about the Coin Toss Probability Formula.

The probability of an event occurring is defined by probability. There are many instances in real life where  people may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to them. When this occurs, we say that the event has a chance of occurring or not. In general, probability has many wonderful applications in games, business (to make probability-based forecasts), and this emerging branch of artificial intelligence.

The probability of an occurrence can be calculated using the probability formula by simply dividing the favourable number of possibilities by the total number of possible outcomes. Because the number of favourable outcomes can never exceed the total number of outcomes, the probability of an event occurring can range from 0 to 1. Furthermore, the percentage of positive outcomes cannot be negative.

The probability is defined as the ratio of favourable outcomes to all possible outcomes of an event. The symbol x represents the number of positive results for an experiment with ‘n’ outcomes. The following formula can be used to calculate the probability of an event.

Probability(Event) = Positive Results/Total Results = x/n

Depending on the outcome or method used to calculate the likelihood that an event will occur, there may be many viewpoints or types of probabilities. There are four different types of probabilities:

  1. Standard Probability
  2. Empirical likelihood
  3. Personal Probability
  4. Probability axiomatically

The probability terminology listed below aids in a better understanding of probability concepts.

Experiment: A trial or procedure carried out to generate a result is referred to as an “experiment.”

Sample Space: A sample space is the collection of all potential outcomes of an experiment. Tossing a coin, for instance, has two possible outcomes: heads or tails.

Favourable Consequence: An occurrence is deemed to have produced the desired outcome or an anticipated event if it did so. For instance, if we roll two dice and get the sum of the two numbers as 4, the possible or favourable possibilities are (1,3), (2,2), and (3,1).

Trial: To conduct a trial is to conduct a random experiment.

Random Experiment: A study with a preset set of outcomes is referred to as a “random experiment.” For instance, when one tosses a coin, the two possible outcomes are Heads or Tails. But there is no chance of knowing which outcome will come .

Event: An event is the whole assortment of results from a random experiment.

What Are Coin Toss Probability Formulas?

Flipping a Coin has two outcomes: heads or tails. On any given toss, one cannot predict which way the coin will land, but one does know that it will either land Head or Tail. Flipping a coin, on the other hand, is a random experiment because you know the range of possible outcomes but not the precise result for each random experiment execution.

One can determine the likelihood of an experiment using the Coin Toss Probability Formula.

Total positive outcomes and total number of outcomes that are feasible


There are two possible outcomes in total.

For heads, the Coin Toss Probability Formula

If the result is favourable, head (H).

Positive results in number = 1.

P (getting heads) = number of favourable outcomes divided by the total number of outcomes equals 1/2.

Formula for the chance of tossing a coin.

If the conclusion is favourable, tail (T).

Positive results in number = 1.

P (getting heads) = total number of potential outcomes / number of favourable outcomes, which equals 1/2.

Solved Examples Using Coin Toss Probability Formulas

Students can find the solved examples of Coin Toss Probability Formulain the website and mobile application of Extramarks. Coin Toss Probability Formula can be easily understood with the help of the resources provided by Extramarks. TheCoin Toss Probability Formula is an important part of probability, and therefore students should solve a lot of questions. TheCoin Toss Probability Formulais also very important for various exams. Extramarks resources will help students prepare for the topic on Coin Toss Probability Formula.

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