Part 3
Use the data provided on the table regarding injuries to skiers and snowboarders to answer the following questions. You may choose, but are not required, to show fractions to clearly identify your focus, but your final answer should be a decimal.

Head Injuries and Not Injured
Wore Helmet 96 and 656
No Helmet 480 and 2330

1) If one of the subjects is randomly selected, find the probability of selecting someone with a head injury.
2) If one of the subjects is randomly selected, find the probability of selecting someone who has a head injury or wore a helmet.
3) If one of the subjects is randomly selected, find the probability of selecting someone who wore a helmet and was injured.
4) If two different study subjects are randomly selected, find the probability that they both had head injuries.
5) If one of the subjects is randomly selected, find the probability of selecting someone who did not wear a helmet, given that the subject had head injuries.

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.