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A fair, twenty-faced die has 19 of its faces numbered from 1 through 19 and has one blank face. Another fair, twenty-faced die has  of its faces numbered from 1  through 8 and10 through 20 and has one blank face. When the two dice are rolled, what is the probability that the sum of the two numbers facing up will be 24.  Express your answer as a common fraction.

Lightning  Mar 18, 2018
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2+0 Answers

 #1
avatar+92225 
+2

A fair, twenty-faced die has 19 of its faces numbered from 1 through 19 and has one blank face. Another fair, twenty-faced die has  of its faces numbered from 1  through 8 and10 through 20 and has one blank face. When the two dice are rolled, what is the probability that the sum of the two numbers facing up will be 24.  Express your answer as a common fraction.

 

+24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 blank
1                                        
2                                        
3                                        
4                                        
5                                     yes1  
6                                   yes2    
7                                 yes3      
8                               yes4        
10                           yes5            
11                         yes6              
12                       yes 7                
13                     yes8                  
14                   yes9                    
15                 yes10                      
16              

yes

11

                       
17            

yes

12

                         
18          

yes

13

                           
19        

yes

14

                             
20       yes 15                                
blank    

 

                                 

 

 

P(sum is 24)= 15/(20*20) = 15/400 = 3 /80

Melody  Mar 18, 2018
 #2
avatar+191 
+3

Correct! Thank you so much!

Lightning  Mar 19, 2018

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