Solve the problem.
-There are 3 balls in a hat; one with the number 1 on it, one with the number 2 on it, and one with The number 5 on it. You pick a ball from the hat at random and then you roll a die. Using a tree Diagram , obtain the sample space for the experiment. Then, find the probability that the number On the ball is the same as the number on the die.
A) $\frac { 1 } { 4 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 6 }$
D) $\frac { 1 } { 2 }$

Question

Solve the problem.
-There are 3 balls in a hat; one with the number 1 on it, one with the number 2 on it, and one with The number 5 on it. You pick a ball from the hat at random and then you roll a die. Using a tree Diagram , obtain the sample space for the experiment. Then, find the probability that the number On the ball is the same as the number on the die. 
A) $\frac { 1 } { 4 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 6 }$
D) $\frac { 1 } { 2 }$

Quizplus · Accepted Answer

The sample space for picking a ball and then rolling a die consists of 18 outcomes (3 choices of balls × 6 outcomes from a die). Only two of these outcomes (picking the ball numbered 1 and rolling a 1, picking the ball numbered 2 and rolling a 2) match the condition where the numbers are the same, giving a probability of $\frac{2}{18} = \frac{1}{9}$. However, none of the provided options match $\frac{1}{9}$, suggesting a misunderstanding in the question's interpretation or a mistake in the provided options. Given the options, none directly match the calculated probability.

Solve the Problem 14\frac { 1 } { 4 }41​ B) 13\frac { 1 } { 3 }31​

Solve the Problem $\frac { 1 } { 4 }$ B) $\frac { 1 } { 3 }$