The number of different possible sums is 20.
From the diagram given :
- Spinner 1 = (1 , 2 , 3, 4, 5 )
- Spinner 2 = (4, 5, 6, 7)
The number of different sums possible can be determined by the sample space outcomes of the two spinners.
Sample space = (Total possible outcomes Spinner 1 × Total possible outcomes Spinner 2 )
Sample Space = (5 × 4 )
Sample Space = 20
Therefore, the number of different possible sums is 20.