Sub-parts to be solved please! Two fair dice are tossed, and the face on each die is observed. Use a tree diagram to find the 36 sample points contained in the sample space. Assign probabilities to...

Sub-parts to be solved please!

Two fair dice are tossed, and the face on each die is observed.

1. 
   
   
   
   1. 
      

      Use a tree diagram to find the 36 sample points contained in the sample space.

      
      
   
   
   2. 
      

      Assign probabilities to the sample points in part a.

      
      
   
   
   3. 
      

      Find the probability of each of the following events:

      
      

      A = {3 showing on each die}
      B = {sum of two numbers showing is 7}
      C = {sum of two numbers showing is even}

      
      
   
   
   4. 
      

      Also, for events A, B, and C, which one is simple event, which one is compound

      
      

      event?

      
      
   
   
   5. 
      

      Event D= ? , Event D and event C independent or not? Event D and event B

      
      

      mutually exclusive or not?

      
      
   
   
   6. 
      

      Consider event D and event C, Find the probability of each of the following

      
      

      events: ?(D ∩ ?), p(D ∪ ?), ?(?|?), ?(?/|?/), ?(?/ ∩ ?/)