Difference between revisions of "2014 UNCO Math Contest II Problems/Problem 9"
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== Solution == | == Solution == | ||
| + | Zero probability for <math>n=1</math> and <math>\frac{F_{n-1}}{2^{2n}}</math> for <math>n\ge 2</math>, where <math>F_{n-1}</math> is the <math>(n-1)^{st}</math> Fibonacci number. | ||
== See also == | == See also == | ||
| − | {{ | + | {{UNCO Math Contest box|year=2014|n=II|num-b=8|num-a=10}} |
[[Category:Intermediate Algebra Problems]] | [[Category:Intermediate Algebra Problems]] | ||
Latest revision as of 02:32, 13 January 2019
Problem
In the Queen’s croquet, as described in Problem 
, what is the probability that the ball hits the
goal post the 
th time the ball is hit?
Solution
Zero probability for 
and 
for 
, where 
is the 
Fibonacci number.
See also
| 2014 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
