One time, I was UK and India was destined to fall next turn. It only had 3 Infantry, and the 2 I would be placing there at the end of the turn.
Burma had 3 Japanese tanks. (retreated from an attack last round) Behind that in yunnan there were 2 Jap tanks and 2 mechs
Also, 2 transports were due to pick up 4 Infantry from malaya and Java to assist the attack.
I opted to attack the three tanks with the three infantry because at least then I could kill a tank that otherwise wouldnt die (infantry would have died first obviously)
The 3 infantry rolled 3 1’s and the tanks didnt hit I took burma and collected 6 IPCs, and saved India for another round.
The Japanese then attacked burma with what was going to attack India, (using only 1 of the 2 transports and hence 2 Infantry) and only got one hit, while the Brits got 3 hits.
Japan retreated
And on the UK turn I retreated the Burma guys back, and bought 2 more guys, bringing the stack up to 6 infantry. Japan then recaptured Burma, And I built two more guys
By then the board had totaly changed, the US was surgeing, Germany was on the defensive, and India held
Goes to show that sometimes attacks can, and will, go against the odds.