Question

president vice president outcome ann john (ann, john) bob (ann, bob) jim (ann, jim) maria john (maria, john) bob (maria, bob) jim (maria, jim) linda john (linda, john) bob (linda, bob) jim (linda, jim) (a) how many outcomes are there? outcome(s) (b) how many outcomes have ann or linda being chosen? outcome(s) (c) how many outcomes have both maria and john being chosen? outcome(s)

Explanation:

Step1: Count total outcomes

Count all pairs in the outcome column. There are 9 pairs: (Ann, John), (Ann, Bob), (Ann, Jim), (Maria, John), (Maria, Bob), (Maria, Jim), (Linda, John), (Linda, Bob), (Linda, Jim).

Step2: Count outcomes with Ann or Linda

For Ann: 3 outcomes (Ann, John), (Ann, Bob), (Ann, Jim). For Linda: 3 outcomes (Linda, John), (Linda, Bob), (Linda, Jim). Total \(3 + 3=6\).

Step3: Count outcomes with Maria and John

Look for the pair where Maria is President and John is Vice - President. Only (Maria, John) exists, so 1 outcome.

Answer:

(a) 9 outcome(s)
(b) 6 outcome(s)
(c) 1 outcome(s)