In Risk, the winner is decided by luck (rolling of the dice) and by strategy and intelligent tactical decisions of the players.
Controlling an entire continent gives you the continent bonus but know also that this makes you an attractive target for other players.
When you control a continent, position your armies to protect the points of attack much more.
Don't conquer an entire continent unless you know you can hold it for at least a full turn.
Try not to let other players control continents, but don't weaken yourself too much in the process.
Australia is a good continent to control at the beginning of the game (because it's easy to hold) and get the continent bonus.
South America, with only two points of attack, is almost as good.
You should try to get a card every turn. Therefor you must invade at least one territory to take a card at the end of a turn. If you don't have an immediate agenda, attack a terroritory that's undefended with armies or maximum one or two armies. Avoid big losses.
Never let other players see your cards. Use them also for bluffing and avoid to trade in your cards too early.
Don't spread yourself too much if you don't have enough army. Other players can sweep through and capture easy all your one-army teritories.
Always try to attack with a large army rather than a medium-sized one
It is often better to attack first then waiting the enemy to build up more troops and attack when he has the advantage.
Risk is not a team game, so alliances with other players are always temporary.
If you're playing with increasing card redemption values, hold your cards as long as possible.
Keep your wild cards as long as possible.
Even if you're playing with mission cards, it's generally better to go first after a full continent.
When you try to complete a mission, make sure it don't get obvious what your goal is.
To defend a country, you can have an option of how many dice to roll, then roll as many as possible because this increases your chances of defense.
There are various versions of Risk, so be sure that you're not playing the same rules/game while everyone else is playing others.
The road to victory usally starts on the southern hemisphere.
In a game using mission cards, you shouldn't focus much on your mission at the start. This is for after 4-5 rounds.
If you take risks, take calculated risks. Don't relay too often on luck. Suicide missions not often lead to success.