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Probability Tricks


Probability Tricks

Probability shortcut tricks are very important thing to know for your exams. Time is the main factor in competitive exams. If you know time management then everything will be easier for you. Most of us miss that part. Here in this page we give few examples on Probability shortcut tricks

. All probability tricks are provided here. Visitors are requested to carefully read all shortcut examples. These examples will help you to understand shortcut tricks on Probability.

Before doing anything we recommend you to do a math practice set. Then find out twenty math problems related to this topic and write those on a paper. Do first ten maths using basic formula of this math topic. You also need to keep track of the time. Write down the time taken by you to solve those questions. Now read our examples on probability shortcut tricks and practice few questions. After finishing this do remaining questions using Probability shortcut tricks. Again keep track of the time. The timing will be surely improved this time. But this is not all you want. You need more practice to improve your timing more.

Few Important things to Remember

You all know that math portion is very much important in competitive exams. That doesn’t mean that other topics are less important. You can get a good score only if you get a good score in math section. A good score comes with practice and practice. All you need to do is to do math problems correctly within time, and only shortcut tricks can give you that success. But it doesn’t mean that without using shortcut tricks you can’t do any math problems. You may have that potential that you may do maths within time without using any shortcut tricks.

But, so many people can’t do this. So Probability shortcut tricks here for those people. We try our level best to put together all types of shortcut methods here. But it possible we miss any. We appreciate if you share that with us. Your help will help others.

Probability is very important chapter,Here we put down some formula and Facts that are based on this chapter after that we give some examples related on formula and chapter,which help you better understand about this chapter. In exams only Dice, Coin and ball related examples are given.


Now we will discuss some basic ideas of Probability. On the basis of these ideas we will learn trick and tips of shortcut probability. If you think that how to solve probability questions using probability shortcut tricks, then further studies will help you to do so.

Important Facts

  • When we throw a coin on the air, the coin appears either a Head (H) or a Tail (T).
  • A dice is a solid cube having 6 faces, marked as 1, 2, 3, 4, 5, 6 gradually. When we throw a dice the outcome is the number that appears on it’s upper face of the dice.


What is Experiment?

The actions of that Appear some well-defined outcomes is called an Experiment.


What is Random Experiment?

A Random experiment is an experiment in which all probable outcomes are known and we cannot predicted the accurate outcome in advances.



What is Sample Space?

Sample Space is an set S of all possible outcomes in a particular actions.

Examples of Sample Spaces

  • In tossing a coin on air, S = { H, T }.
  • If two coin tossed, then S = { HH, HT, TH, TT }.
  • For rolling a dice, S = { 1, 2, 3, 4, 5, 6 }.


What is an Event?

Any subset of a sample space is called an Event.


Probability of occurrence of an Event
Probability of any Event P(E) = n(E) / n(S).

P(E) = Probability of Event.
n(E) = Total number of required outcomes.
n(S) = Total number of Possible outcomes.


Result on Probability

  • P(S) = 1 ( 1 means maximum probability is always 1 ).
  • P(∅) = 0 ( Maximum probability is always 0 ).
  • 0 < P(E) < 1
  • For any event X and Y, we have, P(X ∪ Y) = P (X) + (Y) – P (X ∩ Y).
  • P(\bar E) = 1 – P(E), where E bar denote not E.

Few examples of Probability with Shortcut Tricks



We provide few tricks on Probability Tricks. Please visit this page to get updates on more Math Shortcut Tricks. You can also like our facebook page to get updates.

If you have any question regarding Probability Tricks then please do comment on below section. You can also send us message on facebook.


  1. Sham says:

    A bag contains 4 red balls and 6 yellow balls. If 2 are drawn from the bag randomly. What’s the probability that one ball is red?

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