Q:
      
      
         
            
A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: C) 3/4         
         
Explanation: Let A, B, C be the respective events of solving the problem and  be the respective events of not solving the problem. Then A, B, C are independent event
 are independent events
Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4
 
 P( none  solves the problem) = P(not A) and (not B) and (not C)  
                  =  
                  =                                 
                  =    
                  =   
Hence, P(the problem will be solved) = 1 - P(none solves the problem) 
                = = 3/4
       
      
      
      
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