Explanation:
since both spinners are independent from each other, we can directly multiply their probabilities for the combined event.
1)
1/5 × 1/3 = 1/15
2)
1/5 × 2/3 = 2/15
3)
2/5 × 1/3 = 2/15 (you got that wrong on your paper)
4)
2/5 × 2/3 = 4/15
5)
3/5 × 1/3 = 3/15 = 1/5
6)
3/5 × 2/3 = 6/15 = 2/5