The Wall Street Journal regularly publishes an article entitled "The Count." In one article, The Count looked at 1000 randomly selected home runs in Major League Baseball.
(a) Of the 1000 homeruns, it was found that 85 were caught by fans. What is the probability that a randomly selected homerun is caught by a fan?
(b) Of the 1000 homeruns, it was found that 296 were dropped when a fan had a legitimate play on the ball. What is the probability that a randomly selected homerun is dropped?
(c) Of the 85 caught balls, it was determined that 34 were barehanded catches, 49 were caught with a glove, and two were caught in a hat. What is the probability a randomly selected caught ball was caught in a hat? Interpret this probability.
(d) Of the 296 dropped balls, it was determined that 234 were barehanded attempts, 54 were dropped with a glove, and eight were dropped with a failed hat attempt. What is the probability a randomly selected dropped ball was a failed hat attempt? Interpret this probability.