Chapter 0.2, Problem 15E

To determine

To list: the possible combinations of colours

Answer to Problem 15E

Outcomes of spin 1 (below)	Outcomes of spin2(right)	Yellow	Green	Blue	Black
Yellow	Y, Y	Y, G	Y, Blue	Y, Black
Green	G, Y	G, G	G, Blue	G, Black
Blue	Blue, Y	Blue, G	Blue, Blue	Blue. Black
Black	Black, Y	Black,

Explanation of Solution

Calculation:

The colours are Yellow(Y), Green (G), Blue, and Black.

As one spins spinner twice with each event having 4 possible outcomes, total possible outcomes for 2 spins $=4\times 4=16$ possible combinations

Table can be made to enumerate all possible outcomes, by listing 2 outcomes in rows and columns.

Outcomes of spin 1 (below)	Outcomes of spin2(right)	Yellow	Green	Blue	Black
Yellow	Y, Y	Y, G	Y, Blue	Y, Black
Green	G, Y	G, G	G, Blue	G, Black
Blue	Blue, Y	Blue, G	Blue, Blue	Blue. Black
Black	Black, Y	Black,

Table above has listed all 16 combinations

Conclusion:

Therefore, there are 16 possible combinations.