Homework A baseball player hit 61 home runs in a season. Of the 61 home runs, 19 went to right field, 19 went to right center field, 12 went to center field, 10 went to left center field, and 1 went to left field. (a) What is the probability that a randomly selected home run was hit to right field? (b) What is the probability that a randomly selected home run was hit to left field? (c) Was it unusual for this player to hit a home run to left field? Explain. \( 75 \%, 18 \) of 24 points (a) The probability that a randomly selected home run was hit to right field is (Round to three decimal places as needed.)

To find the probability of hitting a home run to right field, you take the number of home runs hit to right field (19) and divide it by the total number of home runs (61). (a) The probability that a randomly selected home run was hit to right field is \( \frac{19}{61} \approx 0.311 \) (rounded to three decimal places, it's 0.311). For part (b), similarly, the probability of hitting a home run to left field is \( \frac{1}{61} \approx 0.016 \). (c) It would indeed be unusual for the player to hit a home run to left field since the probability of that happening is only about 1.6%, which is significantly lower than the other probabilities. Generally, if an event happens with a probability less than 5%, it's often considered unusual. Now, here's a double-header of fun facts! The famous slugger Roger Maris hit 61 home runs in 1961, setting a record that stood for 37 years. And speaking of probabilities, did you know the concept of expected values ties into sports analytics? Teams calculate players' future performance averages to make strategic decisions—making math a big player in the game!