Question 1132169
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I will answer one question only.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The probability of event A occurring is 0.3 and the probability of event B occurring is 0.4. 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;What is P(A and B) given that A and B are independent events? 


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Since the events  A  and  B  are independent,  


    P(A and B) = P(A)*P(B) = 0.3*0.4 = 0.12.


It is <U>the definition</U> of the property of two events to be independent (!)
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