Difference between revisions of "2005 AMC 10A Problems/Problem 9"
Kat22vic27 (talk | contribs) (→Video Solution) |
|||
(5 intermediate revisions by 4 users not shown) | |||
Line 9: | Line 9: | ||
There is only <math>1</math> distinct arrangement that reads <math>XOXOX</math> | There is only <math>1</math> distinct arrangement that reads <math>XOXOX</math> | ||
− | Therefore the desired [[probability]] is <math>\frac{1}{10} \Rightarrow \mathrm{(B)}</math> | + | Therefore the desired [[probability]] is <math>\boxed{\frac{1}{10}} \Rightarrow \mathrm{(B)}</math> |
− | ==See | + | ==See also== |
− | + | {{AMC10 box|year=2005|ab=A|num-b=8|num-a=10}} | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 16:34, 8 December 2020
Problem
Three tiles are marked and two other tiles are marked . The five tiles are randomly arranged in a row. What is the probability that the arrangement reads ?
Solution
There are distinct arrangements of three 's and two 's.
There is only distinct arrangement that reads
Therefore the desired probability is
See also
2005 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.