Posit half of all the cattle are female and half are male.
Posit the cattle are corraled and then moved into pens, by twos.
1. What % of the pens contain two females?
Posit an animal is removed from one of the pens, and determined to be female.
2. What is the chance the remaining animal in that pen is female?
2a. Why did your answer change after the cattle were placed in pens?
Posit the female animal removed already has a brand.
3. Why do your answers to BOTH 2 AND 2a change?
Posit the cattle are corraled and then moved into pens, by twos.
1. What % of the pens contain two females?
Posit an animal is removed from one of the pens, and determined to be female.
2. What is the chance the remaining animal in that pen is female?
2a. Why did your answer change after the cattle were placed in pens?
Posit the female animal removed already has a brand.
3. Why do your answers to BOTH 2 AND 2a change?