No.  Problems & Solutions 

01. 
(a) The probability of a certain event is
(b) The probability of an impossible event is (c) If an event cannot happen, the probability of the event will be (d) The probability of an event lies between the limits (e) If P(A) = 1, then A is called 
Solution  
(a) 1 ;
(b) 0 ; (c) 0 [an impossible event] ; (d) 0 and 1 (e) A certain event 
No.  Problems & Solutions 

02. 
Which of the following are incorrect statements? (a) P (J) = 0.0 (b) P (K) = 0.1 (c) P (L) = 1. 0 (d) P (M) = 1.8 (e) P (N) =  0.2 
Solution  
(a) TRUE → This represents the probability of an impossible event.
(b) TRUE → The probability of an event lies between 0 and 1. (c) TRUE → This represents the probability of a certain event. (d) FALSE → The probability of an event should lie between 0 and 1. (e) FALSE → The probability of an event lies between 0 and 1. 
No.  Problems & Solutions 

03. 
The probability of any event is always a proper fraction

Solution  
In simple terms, a proper fraction is a fraction where the numerator is less than the denominator.
• Exceptions
The events which are either impossible or certain form an exception to this rule.

No.  Problems & Solutions  

04. 
 
Solution  
(a) → Two or more events are said to be equally likely if their probability of occurrence is equal.
(b) → (c)  Exhaustive events mean events which cover all the possible cases within them. 
No.  Problems & Solutions  

05. 
 
Solution  

No.  Problems & Solutions 

06. 
If E is any event and , its complement, them P(E) + P( ) = 
Solution  

No.  Problems & Solutions 

07. 
If P(A) = 0.05, P(B) = 0.15 then P(
) + P( ) is equal to ...

Solution  

No.  Problems for Practice 

01. 
If P(A) = 1/3, P(
) is

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