Instant Probability and Chance Calculator

Probability is an important part of making any planning because it gives practical insight into the case and below I shared the method of how to use it. But no doubt it's a lengthy process and using this method for a lot of values always increases the chances of mistakes. So, UrwaTools is providing a chance calculator. Which helps you to do your work in a minute and get accurate results. And gives you more time and energy to focus on other parts of your project.

Isn't it interesting that we have used this method since our childhood without even acknowledging that it's the real concept of mathematics? Even though many strategies are made based on it. Let's deep dive to know further about this concept.

PermalinkWhat is Probability?

Probability means how much there is a chance of something to happen. It is expressed through the line. Which is also called the probability line. It starts with 0 and ends with 1, zero means the unlikely of the event to happen and 1 means 100% of the event to happen.

PermalinkProbability Formula

Here is the formula of the probability, by using this you can easily find out which thing is going to happen.

P(A) = Total possible outcomes / Number of favorable outcomes

1. Favorable outcomes are the outcomes you are interested in.
2. Total possible outcomes include all the outcomes that could happen in the scenario.

Let’s have an example to understand it more:

PermalinkExample 1: Flipping a Coin

When you flip a coin, now here are two outcomes; getting the head and the tail. As you are in favor of the head that’s the one chance and the other is head and tail.

• Favorable outcome: 1 (getting heads)
• Total outcomes: 2 (leaders or tails)

Now, according to the formula: 

P(Heads) = 1(total possible outcomes) / 2(number of favorable outcomes)

PermalinkExample 2: Rolling a dice

There are six parts of the dice. So, there are six possible outcomes from it. According to the formula:

1. There are 6 possible outcomes when rolling a die
2. The number of favorable outcomes for rolling a 5 is 1.

P(5) = 1(total possible outcomes) / 6(number of favorable outcomes)

PermalinkHow to calculate probability?

PermalinkRandom experiment

When the experiment has been performed on the homogeneous situation(same situation) multiple times expect the result and no other factor added to it.

PermalinkSample space

The list of outcomes that are possible through the experiment is known as sample space.

PermalinkOutcome

The single result that is expected from the experiment.

PermalinkEvent

The subset of sample space.

PermalinkRolling Two Dice Example

Random Experiment: Rolling two six-sided dice.

PermalinkStep 1: Define the Sample Space

When rolling two dice, each die has 6 faces, so the total number of outcomes is: 6x6=36

The sample space consists of all possible ordered pairs of outcomes from the dice. And all numbers are:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

PermalinkStep 2: Event:

Find out the sum of rolling of 7

PermalinkStep 3: Mark out the favorable outcomes

To find the outcomes that give a sum of 7, we can list them:

1. (1,6)
2. (2,5)
3. (3,4)
4. (4,3)
5. (5,2)
6. (6,1)

There are 6 favorable outcomes.

PermalinkStep 4: Calculate the Probability

Using the probability formula: 

P(5) = Total possible outcomes / Number of favorable outcomes = 1/6

 Now, according to a method in the random experiment, get the probability 7 is 1/6.

PermalinkConclusion

UrwaTools Probability Checker helps users to complete calculate probability efficiently, allowing them to complete their tasks in the shortest time. In fact, its formulation is easy but having multiple steps makes users worry about the correction. You can calculate probability manually by using all these steps.