Solve the Problem $6 .$ A) $\frac { 2 } { 3 }$

Multiple Choice

Solve the problem.
-There are 3 balls in a hat; one with the number 1 on it, one with the number 5 on it, and one with the number 9 on it. You pick a ball from the hat at random and then you flip a coin to obtain heads (H) or tails (T) . Determine the set of possible outcomes, then find the probability that the number on the ball is greater than $6 .$

A) $\frac { 2 } { 3 }$
B) $\frac { 1 } { 6 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 3 }$