As an incentive to get new customers, the local branch of a bank launched "bouncing for bucks." During this week long event, any customer opening a new checking account
With the bank would have the opportunity to throw a bouncy rubber ball into a large box
Divided into squares. Each square was labeled with a dollar amount that would be
Deposited into his/her new checking account. The way the box was labeled is shown
Below. What is the probability that three customers in a row do not get $50? $$\begin{array} { | l | l | l | l | l | }
\hline 10 & 30 & 10 & 30 & 10 \
\hline 20 & 10 & 50 & 10 & 20 \
\hline
\end{array}$$
A) 0.125
B) 0.001
C) 0.729
D) 0.970
E) 0.300

Question

As an incentive to get new customers, the local branch of a bank launched "bouncing for bucks." During this week long event, any customer opening a new checking account
With the bank would have the opportunity to throw a bouncy rubber ball into a large box
Divided into squares. Each square was labeled with a dollar amount that would be
Deposited into his/her new checking account. The way the box was labeled is shown
Below. What is the probability that three customers in a row do not get $50? $$\begin{array} { | l | l | l | l | l | } 
\hline 10 & 30 & 10 & 30 & 10 \
\hline 20 & 10 & 50 & 10 & 20 \
\hline
\end{array}$$
A) 0.125
B) 0.001
C) 0.729
D) 0.970
E) 0.300

Quizplus · Accepted Answer

The probability of not getting $50 on the first toss is 5/6 (since there are 5 non-$50 squares out of 6 total). The same probability applies to the second and third tosses. Therefore, the probability of not getting $50 three times in a row is (5/6)^3 = 0.729, or approximately 73%.

As an Incentive to Get New Customers, the Local Branch 10301030102010501020\begin{array} { | l | l | l | l | l | } \hline 10 & 30 & 10 & 30 & 10 \\\hline 20 & 10 & 50 & 10 & 20 \\\hline\end{array}1020​3010​1050​3010​1020​​

As an Incentive to Get New Customers, the Local Branch $\begin{array} { | l | l | l | l | l | } \hline 10 & 30 & 10 & 30 & 10 \\\hline 20 & 10 & 50 & 10 & 20 \\\hline\end{array}$