Q:
      
      
         
            
A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: A) 1/3         
         
Explanation: Here Sample space S = { HH, HT, T1, T2, T3, T4, T5, T6 }
 
Let A be the event that the die shows a number greater than 4 and B be the event that the first throw of the coin results in a tail then,
 
 A = { T5, T6 }
 
 B = { T1, T2, T3, T4, T5, T6 }
 
Therefore, Required probability = 
       
      
      
      
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