Write a Python program that receives information about a lottery game based on the player guessing k numbers out of n possible numbers. Assume that the game consists of the players betting on k numbers, the lottery agent randomly draws k numbers, and the player wins big if hitting all k drawn numbers, and wins little if hitting k$-1$ drawn numbers. Your program should ask the users the values of n and k; Then your program should compute: the probability of winning big $($hitting all k drawn numbers$)$ and the probability of winning little $($hitting k$-1$ drawn numbers$).$

Without importing math