Difference between revisions of "2019 AMC 12B Problems/Problem 13"
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==Problem== | ==Problem== | ||
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| + | A red ball and a green ball are randomly and independently tossed into bins numbered with the positive integers so that for each ball, the probability that it is tossed into bin <math>k</math> is <math>2^{-k}</math> for <math>k = 1,2,3....</math> What is the probability that the red ball is tossed into a higher-numbered bin than the green ball? | ||
==Solution== | ==Solution== | ||
Revision as of 13:41, 14 February 2019
Problem
A red ball and a green ball are randomly and independently tossed into bins numbered with the positive integers so that for each ball, the probability that it is tossed into bin 
is 
for 
What is the probability that the red ball is tossed into a higher-numbered bin than the green ball?
Solution
See Also
| 2019 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 12 |
Followed by Problem 14 |
| 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 12 Problems and Solutions | |
