"Guilt and focusing on decision making" (Gangemi & Mancini, Journal of Behavioral Decision Making, Vol 20, Jan 2007) reported on 171 volunteer students participating in an experiment where each was randomly assigned to one of three groups. One group was made to feel guilty, one group was made to feel angry, and the third group was not influenced ("neutral"). Immediately after reaching these emotional states, the students were asked to decide whether or not to spend lots of money to repair a very old car (not a "historic"/antique). The "stated" option was "spend the money to repair the car". The following raw data was recorded:

Emotional State Choose stated option C Don't choose stated option C' Totals

Guilt 45 12 57

Anger 8 50 58

Neutral 7 49 56

Totals 60 111 171

(Report your answers as fractions or as decimal values rounded to the nearest hundredth.) Find the probability that a randomly-selected student:

(a) is in the "neutral" emotional state : Answer: ______________

(b) chooses the stated option, given that the student is in the "neutral" state: Answer: ______________

(c) chooses the stated option and is in the "neutral" state? Answer: _________