No.  Problems & Solutions 

01. 
Write all the elementary events in an experiment of tossing an unbiased coin.

Solution  
In the experiment of tossing an unbiased coin, there are two possible elementary events:

No.  Problems & Solutions 

02. 
In a single toss of a fair coin, find the probability of getting head.
(Or) If a coin is tossed, what is the chance of a head? 
Solution  
In the experiment of tossing a coin,
Let "A" be the event of getting a head on throwing the coin. For Event "A"
∴ Probability of getting a head on throwing the coin
Alternative
In an experiment with "n" elementary events all of which are equally likely, mutually exclusive and exhaustive, the probability of occurrence of each elementary event is 1/n.
In the experiment of tossing a coin,
These elementary events are
If "A" is the event of getting a HEAD,

No.  Problems & Solutions 

03. 
If a perfect coin is tossed, the probability of getting both head and tail simultaneously is __

Solution  
simultaneously = at the same instant
In the experiment of tossing a coin,
Let "A" be the event of getting both head and tail simultaneously on throwing the coin. For Event "A"
∴ Probability of getting both head and tail simultaneously on throwing the coin
• Impossible Event
The event of getting a head and tail simultaneously is impossible since only one of these can appear at a time on throwing a coin.
The probability of an impossible event is zero. 
No.  Problems & Solutions 

04. 
What are the odds in favour/favor of and against getting a tail on tossing a coin.

Solution  
In the experiment of tossing a coin,
Let "A" be the event of getting a tail. For Event "A"
• Odds
» in favor/favour
Odds in Favour of getting a TAIL
» against
Odds against getting a TAIL

No.  Problems for Practice 

01. 
What is the probability of getting tail in a throw of a coin?
Ans [1/2] 
02. 
What is the probability of getting a head and a tail when we toss an unbiased coin is?
Ans [0] 
03. 
What is the probability of getting a head or a tail, when we toss a single coin is?
Ans [1] 
Author Credit : The Edifier 