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 greater than the number on the die.
A) $\frac { 1 } { 3 }$
B) $\frac { 7 } { 18 }$
C) $\frac { 5 } { 18 }$
D) $\frac { 5 } { 12 }$

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 greater than the number on the die. 
A) $\frac { 1 } { 3 }$
B) $\frac { 7 } { 18 }$
C) $\frac { 5 } { 18 }$
D) $\frac { 5 } { 12 }$

Quizplus · Accepted Answer

The sample space consists of 18 outcomes (3 balls x 6 die faces). The favorable outcomes are when the ball number is greater than the die number: (2,1), (2,2), (5,1), (5,2), (5,3), (5,4), (5,5). There are 7 such outcomes, so the probability is 7/18.

Solve the Problem 13\frac { 1 } { 3 }31​ B) 718\frac { 7 } { 18 }187​

Solve the Problem $\frac { 1 } { 3 }$ B) $\frac { 7 } { 18 }$