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) $\frac { 1 } { 3 }$

Question

Quizplus · Accepted Answer

The set of possible outcomes includes combinations of picking any of the three balls (with numbers 1, 5, or 9) and the coin landing on either heads (H) or tails (T), resulting in 6 possible outcomes: (1H, 1T, 5H, 5T, 9H, 9T). Only two of these outcomes involve picking a ball with a number greater than 6 (9H, 9T), so the probability is $ \frac{2}{6} = \frac{1}{3} $.

Solve the Problem 6.6 .6. A) 23\frac { 2 } { 3 }32​

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