Probability problems with finite sample spaces

Today we will discussing about probability problems of ICSE question papers. Probability is define for calculating the possible outcomes for the sample space of all events .It is used to calculate the all possibilities of occurrence of an event that is based on the occurrence of all other events .When we talk about the Probability problems with finite sample spaces. (You can also see Conditional Probability Problems to get in detail) It will be define as if there is a finite set have the number of possible outcomes as if there are two die that are of different colors as red and green then “ Is the number that is on the red die is greater than the number on the green die ? “ So for give the answer of that particular answer we have to maintain the records for each number on every die that is become more complex, Probability problems of finite sample spaces is defined as Set S then there are total 36 events of ordered pairs , that is defined as (a , b) in which a denotes the number on greed die and y define the number on the red die and a and b are integer number declared in Set . As we know that there are six number on the die that is define in the Set
G = 1 , 2 , 3 , 4 , 5 , 6 and on two die they will be define as S = G * G .
So the sample space S can be written in the Cartesian product as
S = G * G = (a , b) | a Ð„ G and b Ð„ G .
Here G itself is a sample space and for the experiment if one die is rolled then
S = 0 sixes , 2 sixes and S = 0 sixes , (1 , 6) , exactly one six , (6 , 6) . These are example of sets that is not serve the sample space for the two die experiment.

In upcoming posts we will discuss about variance of discrete random variable and Trigonometric equations 0 to 360 degrees. Visit our website for information on Introduction to Probability