In a $19731975$ legal case of Lee v The City of Richmond Ms$.$ Lee claims she had been

discriminated against when she had applied for a promotion. Four job openings$/$promotions occurred

over a period of time where there were $14$ total applicants. The $14$ applicants consisted of $7$ white

employees and $7$ black employees. All four promotions were given to white employees. Ms$.$ Lee is

one of the black employees. If you assume that all $14$ applicants were equally qualified, what is the

probability that the four promotions would all be given to white employees?

Based upon your probability calculation, do you feel Ms$.$ Lee was a victim of racial

discrimination? Explain your reasoning.