odds:
机会,可能性;成功的可能性[(+on/against)][+(that)]
His odds were very poor after he sprained his wrist.
probability :
可能性,或然性[U][S1][(+of)][+that]
The probability of making a mistake increases when you are tired.
你累的时候犯错误的可能性就会增加.
odds相对probability 来说强调机会更小一些,另外就是两个词在使用时有所差别,见上下对比.