2 people are taking turns throwing bags at 2 targets one is 7 points other is 3 points List all the scores less than 11 that will be impossible to get in 1 turn

Question

I think i have to find 2 numbers more than 7 and 3, but when I do that tge sum is more than 11 and that is what we dont want. It has to be less than 11.

Answer 1

There are a few things missing here...

1. how many bags does each player have?

2. Is each player's score kept independently?

 

I assume each player has one bag each and they total their scores together.  

Possible score values = 0 (a miss), 3 (target #2) and 7 (target # 1)

 

The possible scores for two bags total then equals (when less than 11):

0+0 = 0, 0+3 = 3, 3+3 = 6, 0+7 = 7, 3+7 = 10

 

So, the "impossible scores" less than 11 are 1,2,4,5,8,9

 

But that's under the assumptions above.