Probability can be described as a chance of happening. Mathematics has given rise to a tool named probability to estimate that the chance of an event taking place.
In our daily lives, we frequently apply probability theory. When we go outside, for example, we always check the weather outside to see if there is a risk of rain. In the above example, we were estimating the likelihood of rain using mathematics.
It should be remembered that probability can only be used to estimate the likelihood of occurrence; it cannot be used to determine the certainty of an occurrence. For example, if a coin is tossed, the probability of a head is ½, i.e., the likelihood of the head occurring out of two possible results is ½.
How to study probability?
- To begin, you should have a firm grasp of the three categories of probability.
• Theoretical Probability: The whole idea of theoretical probability is founded on reason. If you roll a dice, for example, the chance of having each outcome is 1/6.
• Experimental Probability: The whole concept of experimental probability is founded on the results of any random experiment. For instance, if you toss a coin seven times and receive tail five times, the chance of getting a tail, or the probability of receiving a tail, is 5/7.
• Axiomatic Probability: This type of probability is dependent on axioms or a series of rules.
2. Know the fundamental calculation
Assume that an experiment can happen in “n” different ways, all of which are equally likely. An event “E” occurred in “r” ways out of the “n” possible ways. Then P(E)= r/n is the probability of the event occurring.
For example, if you have a bucket of seven toys, three of which are cars and four of which are balls, and you are asked to choose one ball, the likelihood of picking a ball is ¼. Since the number of balls in the bucket is limited to four, and you may only pick up one ball at a time.
3. Take the help of a probability tree diagram.
You can use a probability tree diagram to help you remember the complete idea of probability if you’re having trouble memorizing it. The probability tree diagram’s main purpose is to assist you to figure out when you should use multiplication and when you should use addition. The probability tree diagram’s basic structure consists of multiple branches, with the results of the experiment at the ends of the branches.
4. Have a basic understanding of conditional probability
You can use conditional probability to estimate the likelihood of an event occurring based on the occurrence of a previous event in a particular experiment.
For example, suppose you have an apple bag with eight apples in it, five of which are red and four of which are green. Now, if you’re asked to pick two apples, one of which must be read, picking up a red apple the second time is conditional on what you picked up the first time.
An example for you on probability is to have a clear understanding.
• Find the probability of getting tail while tossing a coin
The sample space of this experiment can be written as S={ Head, Tail}
Let us take E as the event that describes the chance of getting tail
The total number of the outcome, n = 2
P(E) = r/n
P(E) = ½
Since tail can occur only one time while tossing a single coin for one time.
Conclusion
If you wish to learn more about a specific part of probability, such as sample space, event, mutually exclusive probability, conditional probability, you can use cuemath as a resource. Cuemath can provide you with accurate information and make the concept of probability simple for you.
