A joint survey by Parade magazine and Yahoo! found that 59% of American workers say that if they could do it all over again, they would choose a different career (USA Today, September 24, 2012). The survey also found that 33% of American workers say they plan to retire early and 67% say they plan to wait and retire at age 65 or older. Assume that the following joint probability table applies.
a. What is the probability a worker would select the same career?
b. What is the probability a worker who would select the same career plans to retire early?
c. What is the probability a worker who would select a different career plan to retire early?
d. What do the conditional probabilities in parts (b) and (c) suggest about the reasons workers say they would select the same career?