Ethan rolls the number cube and then spins the arrow on the spinner. A list of all the possible outcomes is shown.

3

1

2

2

{(1,1).(1,2).(1.3). (2,1).(2, 2), (2,3).(3,1),(3,2).(3,3).

(4,1).(4.2).(4.3).(5,1).(5,2).(5,3) .(6, 1).(6,2).(6,3)

3

What is the probability that the sum of the two numbers is odd, given that the product is 6?

A 1/3

B. 1/2

C. 2/3

D. 1