Pakistan, India and Srilanka are engaged in a missile war, such that they fire one after the other, in a sequence, the sequence selected by draw of lots. The rules of war are such that the 3 countries keep on shooting at each other until they hit with the missile. This goes on until there is one last country left unhit, and then the war ends. The chances that Pakistan hits its target is 100%, Srilanka hits the target is 80% and India hits the target is 50%.
Who has the highest chance of winning the war? Pick one:	A) India	B) Pakistan	C) Srilanka	D) None of these	E) Cannot be determined
Solution:   India has the highest chances of winning the war (47/90)   Missile Firing order:   Chances of Remaining Unhit - Pakistan:   Chances of Remaining Unhit - Srilanka:   Chances of Remaining Unhit - India   Pakistan - Srilanka - India   1/2 0 1/2   Pakistan - India - Srilanka   1/2 0 1/2   India - Pakistan - Srilanka   1/10 16/45 49/90   Srilanka- Pakistan - India   1/2 0 1/2   Srilanka - India - Pakistan   1/10 16/45 49/90   India - Srilanka - Pakistan   1/10 16/45 49/90   Total chances of being unhit (sum of the probabilities divided by 6):   27/90 16/90 47/90   Answer None of these
<result>D</result>
Pakistan, India and Srilanka are engaged in a missile war, such that they fire one after the other, in a sequence, the sequence selected by draw of lots. The rules of war are such that the 3 countries keep on shooting at each other until they hit with the missile. This goes on until there is one last country left unhit, and then the war ends. The chances that Pakistan hits its target is 100%, Srilanka hits the target is 80% and India hits the target is 50%.
Who has the highest chance of winning the war?