Tom K. answered 12/22/21
Knowledgeable and Friendly Math and Statistics Tutor
Two methods (using Excel's notation)
1) Combin(5,4)*Combin(7,2)/Combin(12,6) = 5 * 21 /924 = 5/44 = .113636
2) hypgeom.dist(4,6,5,12,0) = .113636 (in the population of size 12, we have 5 red; in the sample of 6, we have 4 reds)