![SearchIcon](https://vmkt.vedantu.com/vmkt/PROD/png/bdcdbbd8-08a7-4688-98e6-4aa54e5e0800-1733305962725-4102606384256179.png)
Answer
395.4k+ views
Hint: For solving this question you should know about the concept of probability. According to the concept of probability the total sum of any event is equal to one. This means there can be many numbers of outcomes but the probability for all of them can be a maximum of one. We find the probability of that considered experiment to get the required answer. So, use this concept to reach the solution of the given problem.
Complete step by step answer:
According to our question it is asked to find the probability for getting head or tail in a throw of a coin. But for understanding the concept of probability, we take an example.
Example: Find the chance of throwing head and tail alternatively in three successive tossing of the coin.
So, S for this can be written as:
$S=\left\{ HHH,HHT,HTH,HTT,THH,TTH,THT,TTT \right\}$
Hence the total number of outcomes = 8.
Let E: event of getting head and tail alternatively in three successive trials.
So, the only possible outcomes are $\left\{ HTH,THT \right\}$.
Hence the number of possible outcomes = 2.
So, the probability of an event E is given by:
$P\left( E \right)=\dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$
Therefore $P\left( E \right)=\dfrac{2}{8}=\dfrac{1}{4}$.
Thus, if we see our question, then,
$S=\left\{ H,T \right\}$
So, the total number of outcomes are = 2.
And the probability for getting head or tail in one throw is,
$P\left( E \right)=\dfrac{1}{2}=0.5$.
So, the correct answer is “Option C”.
Note: In probability theory, an experiment or trial is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as sample space. The probability of an event is always lying between 0 and 1, that is $0\le P\left( E \right)\le 1$. The probability of an event E is given by the formula $P\left( E \right)=\dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$.
Complete step by step answer:
According to our question it is asked to find the probability for getting head or tail in a throw of a coin. But for understanding the concept of probability, we take an example.
Example: Find the chance of throwing head and tail alternatively in three successive tossing of the coin.
So, S for this can be written as:
$S=\left\{ HHH,HHT,HTH,HTT,THH,TTH,THT,TTT \right\}$
Hence the total number of outcomes = 8.
Let E: event of getting head and tail alternatively in three successive trials.
So, the only possible outcomes are $\left\{ HTH,THT \right\}$.
Hence the number of possible outcomes = 2.
So, the probability of an event E is given by:
$P\left( E \right)=\dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$
Therefore $P\left( E \right)=\dfrac{2}{8}=\dfrac{1}{4}$.
Thus, if we see our question, then,
$S=\left\{ H,T \right\}$
So, the total number of outcomes are = 2.
And the probability for getting head or tail in one throw is,
$P\left( E \right)=\dfrac{1}{2}=0.5$.
So, the correct answer is “Option C”.
Note: In probability theory, an experiment or trial is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as sample space. The probability of an event is always lying between 0 and 1, that is $0\le P\left( E \right)\le 1$. The probability of an event E is given by the formula $P\left( E \right)=\dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$.
Recently Updated Pages
Fill in the blanks with suitable prepositions Break class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks with suitable articles Tribune is class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Rearrange the following words and phrases to form a class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Select the opposite of the given word Permit aGive class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blank with the most appropriate option class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Some places have oneline notices Which option is a class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When was Karauli Praja Mandal established 11934 21936 class 10 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What is the definite integral of zero a constant b class 12 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why is steel more elastic than rubber class 11 physics CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Distinguish between the following Ferrous and nonferrous class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)