Wikipedia:Reference desk/Mathematics: Difference between revisions
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[[Special:Contributions/86.179.116.254|86.179.116.254]] ([[User talk:86.179.116.254|talk]]) 00:15, 16 September 2012 (UTC)
==Space battle with only one shot==
Here is a mathematical question. In a space war, there are two ships fighting each other to the death. There is a large ship and a small ship. Both ships have a single weapon which can only be fired once. The weapon is so powerful that one hit from it would result in total destruction. The small ship has a probability of hitting of S_hit(x) = 0.9^x where x is the unit distance. The large ship has a probability of hitting of L_hit(x) = 0.6^x
Assuming that both ship are approaching each other at a straight line. What is the best strategy for the small ship? What is the best strategy for the large ship? It is obvious that the large ship should wait until the small ship approaches as close as possible before firing it's weapon but if it waits too long, the small ship would fire first and destroy it. For the small ship, it wants to get as close as possible before firing it's weapon because if it fire while too far away, then it would miss and giving the large ship a chance to shoot it at a closer distance. [[Special:Contributions/220.239.37.244|220.239.37.244]] ([[User talk:220.239.37.244|talk]]) 03:48, 16 September 2012 (UTC)
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