Question

There are two identical jars on a table: Jar-A has exactly 380 red jelly beans, and Jar-B has exactly 380 black jelly beans. Suppose you took the scoop that holds exactly 20 jelly beans, and filled it with 20 red jelly beans from A and put them into B. After shaking B to mix the jelly beans, scoop 20 jelly beans from B and put them into A.

(a) Choose the correct statement from the following.

choice number 1; There are more red jelly beans expected in B than the black jelly beans expected in A.

choice number 2; There are more black jelly beans expected in A than the red jelly beans expected in B.

choice number 3; The number of red jelly beans expected in B and the number of black jelly beans expected in A are the same.

choice number 4; There is not enough information.

(b) Either mathematically or in plain English, justify your answer.

Answer 1