import math

#boxcount=int(input("number of boxes")) #1
totalobjects=int(input("count of objects")) #50
colorcount=int(input("no of colurs for objects in boxes"))  #8-blue,13-black,29-grey
#name and count
i=0
x=[]
y=[]
while i < colorcount:
	xn, yn=input("count of objects seperated by color name: ").split()
	x.append(xn)
	y.append(yn)
	i+=1
x=list(map(int,x))
y = [element.upper() for element in y] 

print(x,y)  #counts of obj of each colors

xindex=0
yindex=0

pick=int(input("objects picked: "))

wantedcolor=input("function find chances of all to be --> , name the color search: ")

yindex=y.index(wantedcolor.upper())
xindex=yindex
#q1---->pick=5 chance of all blue  ==> 8c5/50c5,,, 
print(x[xindex])
num=x[xindex]-pick
print(num)
print(totalobjects)
den=totalobjects-pick
print(den)
if sum(x)==totalobjects:
	print("chances are : ",(math.factorial(x[xindex])/math.factorial(num))/(math.factorial(totalobjects)/math.factorial(den)))
	print( "----------------")

Output:
C:\Users\testuser\Downloads\DL>python test.py
count of objects50
no of colurs for objects in boxes3
count of objects seperated by color name: 8 blue
count of objects seperated by color name: 13 black
count of objects seperated by color name: 29 grey
[8, 13, 29] ['BLUE', 'BLACK', 'GREY']
objects picked: 5
function find chances of all to be --> , name the color search: blue
8
3
50
45
chances are :  2.6430553720100437e-05
----------------
C:\Users\testuser\Downloads\DL>python test.py
count of objects2
no of colurs for objects in boxes2
count of objects seperated by color name: 1 white
count of objects seperated by color name: 1 black
[1, 1] ['WHITE', 'BLACK']
objects picked: 1
function find chances of all to be --> , name the color search: white
1
0
2
1
chances are :  0.5
----------------