2019 AIME II Problems/Problem 2
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Problem
Lily pads 
lie in a row on a pond. A frog makes a sequence of jumps starting on pad 
. From any pad 
the frog jumps to either pad 
or pad 
chosen randomly with probability 
and independently of other jumps. The probability that the frog visits pad 
is 
, where 
and 
are relatively prime positive integers. Find 
.
Solution
See Also
| 2019 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
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