I would like to pay 20 for this assignment please let me know if you could do it

Question

Robert · Accepted Answer

Sol: 
a. Consider a fair six-sided die as before, only in addition to the numbers 1 through 6 on each face, 
we have the property that the even-numbered faces are colored red, and the odd-numbered 
faces are colored green. Let event A be rolling a green face, and event B be rolling a 6.  Then 
 , -  
 
 
 
 , -  
 
 
 
It is can be seen that events A and B cannot simultaneously occur, since rolling a 6 means the 
face is red, and rolling a green face means the number showing is odd.  Therefore 
 ,       -       
Hence the two events are mutually exclusive but not independent of each other. 
b. Consider a fair coin and a fair six – sided die.  Let event A be obtaining heads, and event B be 
rolling a 6. Then we can reasonably assume that events A and B are independent, because the 
outcome of one does not affect the outcome of the other.  The probability that both A and B 
occur is 
   ,       -    , - , -   (
 
 
) (
 
 
)   
 
  
 
Since this value is not zero, then events A and B cannot be mutually exclusive. 
c. Two mutually exclusive events cannot be independent. 
d. A is the event in which, a two six – sided dies are rolled for a sum of 6 and B is the event in 
which the event in A has a 2 on one of the dies. 
 
Sol: 
 Plane 1 Plane 2 Plane 3 Plane 4 
Small 5 10 5 0 
Large 10 5 5 0
 Venomous Non venomous Corals 
Small 5 12 3 
Large 10 10 0
1. Probability of living through this experience. 
This happens in either of the following events 
E1: The student travels in plane 4. 
 (  )  
 
 
 
E2: The student travels in Plane 1 (this itself has a probability of 0.25) unharmed. 
This happens when all the large snakes in Plane 1 are nonvenomous and he is unharmed by the 
small snakes 
The probability for this is the product of the individual probabilities as they are mutually 
exclusive events. 
 (                                    )  
     

The event of not being harmed by small snakes happens in either of the following events. 
a. When all of them are nonvenomous 
 ( )  
    

b. When there is a mix up of corals and nonvenomous snakes. 
 ( )  
 
    
(                       
              
 ) 
Hence the total probability is given by, 
 (  )  

    
(                            
              
 )
     
     
 
(                            )
     
 
 
     
           
E3: The student travels in Plane 2 (this itself has a probability of 0.25) unharmed. This happens when all 
the large snakes in Plane 2 are nonvenomous and he is unharmed by the small snakes.

I would like to pay 20 for this assignment please let me know if you could do it

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