A method and apparatus of entropy coding of coding symbols using Context-Based Adaptive Binary Arithmetic Coder (CABAC) are disclosed. According to the present invention, a math formula is used for calculating the LPS range for deriving rangeOne value and rangeZero value. For example, the LPS range is derived using one or more mathematical operations comprising calculating a multiplication of a first value and a second value, in which the first value is related to (2*the LPS probability index+1) or the LPS probability index, while the second value is related to (2*the range index+1) or the range index. Besides, the LPS range can be derived by using a look-up-table including table contents corresponding to values of LPS range associated with a set of LPS probability indexes and a set of range indexes for encoding or decoding a binary value of the current bin.