class ProbablitySpace:
    def __init__(self):
        #sample space
        self.OMEGA = ["one","two","three","four","five","six"]

    def P(self,omega):
        """
        element of sample space ->  [0,1]
        """
        measure = {"one":1/6.,"two":1/6.,"three":1/6.,"four":1/6.,"five":1/6.,"six":1/6.}
        return measure[omega]

    def X(self,omega):
        """
        sample space -> X of sample space
        """
        X_sample_space = ["odd","even"]
        X_func = { "one":X_sample_space[0],\
                "two":X_sample_space[1],\
                "three":X_sample_space[0],\
                "four":X_sample_space[1],\
                "five":X_sample_space[0],\
                "six":X_sample_space[1] }
        return X_func[omega]

    def PofX(self,X_omega):
        X_measure = {"odd":1/2.,"even":1/2.}
        return X_measure[X_omega]

dice = ProbablitySpace()
dice.OMEGA
dice.P(dice_trial.OMEGA[0])
list(map(dice.P,dice.OMEGA))
dice.X(dice.OMEGA[0])
dice.PofX(dice.X(dice.OMEGA[0]))