Possible outcomes and making predictions

Hi Friends, In today's tutoring session we will focus on Possible outcomes and making predictions. Possible Outcome of an event or making predictions in any event are relatively similar terms, as in both the cases one has to look at the likelihood or relative frequency for something to happen, Predicting what will happen is a valuable real thinking skill of any person which helps him get closer to the possibility of an event.
While concluding about the possible outcomes one must also take care about how he/she is making predictions in them and this ways the objective of getting closer to the reality of the event can be achieved, generally these type of problems are practiced with grade V students.
Now, let us take few examples with which we can be closer to the in predicting the Probability of Occurrence of an Event.
1. If an individual has a choice of picking 3 Shirts, 5 Jeans and 4 Shoes, predict how many different outfits one can be in (assuming nothing can be picked more than once).
In such case we can see that the possible number will be= 3*5*4.
2. If a day, has to be chosen from the month of September ( 30 days ) having 3 in the date, what is the possibility of that day to occur ?, this can be easily seen that possibility is 4/ 30 ( 3, 13, 23 and 30 ).
Have you ever thought that in your day to day life you come across so many things which run on the principle of prediction, for instance say weather forecast, Stock markets, the environment etc.? The generation and analysis of data is becoming extremely prevalent in today’s world, where data is generated at the occurring of every event and thus making it extremely important to use this data properly to do, the proper prediction of any particular event.

In upcoming posts we will discuss about Mathematics in daily life. Visit our website for information on 12th biology syllabus Maharashtra board

Math Blog on Probability and Statistics

Hello students, As a Tutor, I am going to discuss about Probability and Statistics. In mathematics, an average of a statistical data is value representation of entire data. Statistics deals with the collection, presentation, analysis and interpretation of numerical data. In other sense, statistics means data, the word data means information or set of given set in numerical figures in which we study mean, median and mode that are calculated on the set of data.
Some limitation of statistics
1.      Statistics deals with group and does not deal with individuals.
2.      Statistical laws are not precise. They are accurate on average only.
Now, we will discuss about Probability. Probability shows the uncertainty of occurrence of an event. Probability is used in many fields like :- commerce, science, whether forecasting etc.
Rule for probability: in mathematically, we have
Probability of an event A i.e. P(A) =a/b
Where a =number of favorable to the occurrence of A
b = total number of possible sample and
a-b = number of unfavorable to the occurrence of A.
We also notice that
P(A) =P( inverse of A) =(a/b)+(a-b)/a = 1 i.e. P(A) +P(not A) =1
Now, we take some examples for solving problem on probability.
Example 1:- a die is thrown once. Describe the sample space (s).1, 2, 3, 4, 5, 6
1.      What is the probability that the number ‘1’ turns up?
2.      What is the probability an odd number turns up?

Solution (1) :- the sample space : 1,2,3,4,5, 6
Since there are 6 equal parts likely number of probability of getting 1 is:
P(1) = number of events/total number of samples =1/6
Solution (2) :- let A=(an odd number) =1,3,5 so x(A) = 3
Probability of getting odd numbers= x(A)/x(s) =3/6 =1/6
                                                                                                 

In next post we will talk on grade V. For more information on biology syllabus for class 10 ICSE, you can visit our website

Probability in Grade V

In V Grade of cbse board, we are going to get Introduction to Probability,
Basically probability means the possibilities of the occurance of a particular event and its possible outcomes.
Let us first see what an experiment is ?(want to know more about experiment then refer to online math tutor available on Internet)
An experiment which can produce some well defined outcomes is called an experiment.
All the Outcomes of an experiment are called events
Suppose we are making predictions for if it will rain or not: then there are two possible  outcomes,
1. It may rain
2. It may not rain
In probability we talk about any event that occurs in the universe and on that particular event. The process of making predictions takes place and the possible outcomes are taken into considerations.
Let us consider an event of a child going to school on Monday, the possible outcomes are
1. He may come to school.
2. He may not come to school.
This is called probability.
We use probability in our daily life. We usually find the events occuring in our life, sometimes we speak some sentences like:
Most probably my grandmother will come tomorrow.
I doubt that if  you will pass this time.
There are high chances that we will reach in the finals of the tournaments. All these words explain about the possibilities of the any event to occur.
Suppose we take any event of throwing a coin. The possible outcomes are Head (H) and Tail (T)
After throwing the coin either Head or Tail will be appearing.
So probability of getting a head P(H) = 1 out of 2.
                                                   p(H) = 1/2

 probability of getting a tail P(T) = 1 out of 2. 

                                                   P(T) = 1/2
The chances are  that  either the Head or Tail will appear as one of the outcome.
If two coins are thrown at random, then the possibilities of the outcomes are HH, HT, TH, TT
If we throw a dice we observe that one of the possible outcomes are 1, 2, 3, 4, 5, 6. It means that when the dice is thrown, one of these outcomes will appear. So  these are called the  probability of  occurrence of any event.
The possibility of getting a number 1 = 1 out of 6 => p(1) = 1/6
The possibility of getting a number 2 = 1 out of 6 => p(2) = 1/6
The possibility of getting a number 3 = 1 out of 6 => p(3) = 1/6
The possibility of getting a number 4 = 1 out of 6 => p(4) = 1/6
The possibility of getting a number 5 = 1 out of 6 => p(5) = 1/6
The possibility of getting a number 6 = 1 out of 6 => p(6) = 1/6(To know more about probability click here)

We study probability in  all aspects of life.
If we put 10 marbles in a box, out of which 5 are red in color, 3 are blue in color and 2 are green. If we have to take out one marble out of the box, what is the probability of 1getting a red marble = P (red) = 5/10
    2) getting a blue marble = P(Blue) = 3/10
    3) getting a green marble = P (green ) = 2/10

So this is the way we study Steps in problem solving for probability . I hope that what I have told is sufficient for you and to know about 4th Grade Probability and Statistics you can refer to Internet.