equally likely events

Hello students,Previously we have discussed about inverse function worksheet and In today's session we are going to discuss about equally likely events which is a part of board of intermediate education andhra pradesh, In the mathematics we deals with the probability and their events such as exhaustive, dependent, independent, mutually exclusive, favorable and many more. Equally likely events are one of them. Let’s talk about the equally likely events definition : - In some experiments we know the results in advance but actually do not know the exact result, this type of results are called the random experiments and the result of random experiments are called equally likely events if the different outcomes have the same chance of occurrence.
For example when a die is thrown, each of the faces bearing one, two, three, four, five or six dots is equally like to appear.
Another example when we toss a coin then we have a chance to get either a Head or Tail.
Means it includes all those experiments in which we know the all results but we do not know the actual or exact results.
Let’s take examples -
Which of the following experiments have equally likely outcomes or events.
I) A driver attempts to start a car. The car start or does not start.
II) A players attempts to shot a basketball. she/he shoots or misses the shot.
III) A trial is made to answer a true false question. The answer is right or wrong.
IV) A baby is born. It is a boy or girl
Solutions : - (I) A driver attempts to start a car. The car starts or does not start, is not equally like events.
(II) A players attempts to shot a basketball. she/he shoots or misses the shot are not equally like events.
(III) A trial is made to answer a true false question. The answer is right or wrong is an equally like to occur.
(IV) A baby is born. It is a boy or girl is an equally like occur event.


In the next session we are going to discuss Grade VI, Steps in problem solving and You can visit our website for getting information about free math tutor.

dependent

Probability can be considered as a branch of mathematics that deals with the calculation of likelihood of a given event’s occurrence. The occurrence of an event can be described in terms of number between the 1 and o. In the terms of probability, an event with a probability of 1 can be describe as certain or in the same aspect the probability of .5 can be specify as a half odd or half even. In the probability, an event is word which can be defined as a particular work which is performed in continues time period. When an event is performed in a particular time period then to estimate the outcome of that event, we use the concept of probability.
In the simple form we can say that when the number of occurring events is divide by the total number of events plus the number of failure of occurrence are known as probability. In the probability, some of the cases occur which has the two events. It means that in the probability some time two events are performed together at a time. On the basis of probability we can categorized the events in two ways, which are given below:
A)      Dependent event
B)      Independent event
Dependent events = Dependents are those events in which outcome of the one event affects the outcome of another event. It means to say that the output of the one event depends on the output of another event.
Independent events: independents events are those events which are independent to each other. It means that the outcome of one event not affect the outcome of another event. (know more about cbse sample papers for class 10, here)

Example: Suppose there is pack of playing card. If in case we pick card of king of heart. In the next time if we pick the card then it is obvious that card is not same to the king of heart. So, we can say that here both events are dependent to each other because in a Dependent Events Probability of the pack of card, there is only one king of heart exists.  In the next session we will discuss about Informal and mathematical language.