Answer
Verified
396.3k+ views
Hint:A Random Experiment is an experiment, trial, or observation that can be repeated numerous times under the same conditions. The outcome of an individual random experiment must be independent and identically distributed.
Complete step by step answer:
Examples of a Random experiment include:
The tossing of a coin. The experiment can yield two possible outcomes, heads or tails.
The role of a die. The experiment can yield six possible outcomes, this outcome is the number 1 to 6 as the die faces are labeled
Before rolling a die you do not know the result. This is an example of a random experiment. In particular, a random experiment is a process by which we observe something uncertain. After the experiment, the result of the random experiment is known. An outcome is a result of a random experiment.
The set of all possible outcomes is called the sample space. Thus in the context of a random experiment, the sample space is our universal set.
Here are some examples of random experiments and their sample spaces:
Random experiment: toss a coin; sample space\[\]or as we usually write it, \[\]Random experiment: roll a die; sample space: \[S = \left\{ {{\text{1}},{\text{2}},{\text{3}},{\text{4}},{\text{5}},{\text{6}}} \right\}.\]Random experiment: observe the number of iPhones sold by an Apple store in Boston in\[{\text{2}}0{\text{15}}\]; sample space: \[S = \{ 0,{\text{1}},{\text{2}},{\text{3}}, \cdots \} .\]
Random experiment: observe the number of goals in a soccer match; sample space: \[S = \{ 0,{\text{1}},{\text{2}},{\text{3}}, \cdots \} .\]
Note:
The sample space is defined based on how you define your random experiment.
Outcomes of the random experiment are independent of each other. For example: if we toss a coin 2 times the possibility of the appearance of head and tails is equal in both turns.
Let us suppose that when the head appears in the first throw it does not affect the probability of the next throw in any way.
Complete step by step answer:
Examples of a Random experiment include:
The tossing of a coin. The experiment can yield two possible outcomes, heads or tails.
The role of a die. The experiment can yield six possible outcomes, this outcome is the number 1 to 6 as the die faces are labeled
Before rolling a die you do not know the result. This is an example of a random experiment. In particular, a random experiment is a process by which we observe something uncertain. After the experiment, the result of the random experiment is known. An outcome is a result of a random experiment.
The set of all possible outcomes is called the sample space. Thus in the context of a random experiment, the sample space is our universal set.
Here are some examples of random experiments and their sample spaces:
Random experiment: toss a coin; sample space\[\]or as we usually write it, \[\]Random experiment: roll a die; sample space: \[S = \left\{ {{\text{1}},{\text{2}},{\text{3}},{\text{4}},{\text{5}},{\text{6}}} \right\}.\]Random experiment: observe the number of iPhones sold by an Apple store in Boston in\[{\text{2}}0{\text{15}}\]; sample space: \[S = \{ 0,{\text{1}},{\text{2}},{\text{3}}, \cdots \} .\]
Random experiment: observe the number of goals in a soccer match; sample space: \[S = \{ 0,{\text{1}},{\text{2}},{\text{3}}, \cdots \} .\]
Note:
The sample space is defined based on how you define your random experiment.
Outcomes of the random experiment are independent of each other. For example: if we toss a coin 2 times the possibility of the appearance of head and tails is equal in both turns.
Let us suppose that when the head appears in the first throw it does not affect the probability of the next throw in any way.
Recently Updated Pages
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
What is BLO What is the full form of BLO class 8 social science CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Fill the blanks with proper collective nouns 1 A of class 10 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What organs are located on the left side of your body class 11 biology CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE