Solve the problem.
-A slot machine in a casino has four wheels that all spin independently. Each wheel has 11 stops, denoted by 0 through 9, and bar. What is the probability that a given outcome is bar-bar-bar?
A) $\frac { 1 } { 14,641 }$
B) $\frac { 1 } { 44 }$
C) $\frac { 1 } { 10,000 }$
D) $\frac { 1 } { 6,561 }$

Question

Solve the problem.
-A slot machine in a casino has four wheels that all spin independently. Each wheel has 11 stops, denoted by 0 through 9, and bar. What is the probability that a given outcome is bar-bar-bar? 
A) $\frac { 1 } { 14,641 }$
B) $\frac { 1 } { 44 }$
C) $\frac { 1 } { 10,000 }$
D) $\frac { 1 } { 6,561 }$

Quizplus · Accepted Answer

Since each wheel has 11 stops and they spin independently, the total number of possible outcomes is $11^3 = 1,331$. The desired outcome, bar-bar-bar, represents only one of these possible outcomes. Therefore, the probability is $\frac{1}{1,331}$, which matches choice A.

Solve the Problem 114,641\frac { 1 } { 14,641 }14,6411​ B) 144\frac { 1 } { 44 }441​

Solve the Problem $\frac { 1 } { 14,641 }$ B) $\frac { 1 } { 44 }$