Answer these data management grade 12 blank questions.

3. The probability that Stephanie will play golf today is 60%, the probability that she will play golf tomorrow is 75% and the probability she will play golf on both days is 50%. What is the probability that she does not play golf either day? 2, 3, 51 7, IT 4. What is the probability of rolling a sum that is prime number when rolling two dice? 0. 417 5. What is the probability of randomly selecting a club or a non-face card from a standard deck of 52 cards ? Look up "deck of cards " 0. 85 6. A messy drawer contains three black socks, five blue socks, and eight white socks, none of which are paired up. If the owner grabs a) two socks without looking, what is the probability 10.23 that both will be white? 7. Nine members of a baseball team are randomly assigned field positions. There are three outfielders, four infielders, a pitcher, and a catcher. Troy is happy to play any position except catcher or outfielder. Determine the probability that Troy will be assigned to play a) catcher b) outfielder c) a position he does not like Part C: Thinking (9 marks) Question Answer 1. If Mike does his math homework today, the probability that he will do it tomorrow is 0.8. The probability that he will do his homework today is 0.7. What are the odds that he completes his homework both today and tomorrow? 2. A study is done that investigates the effects of teenagers listening to loud music through headphones. It is found that 12% of those teenagers in the sample who did listen to music in this way showed signs of hearing problems. If 60% of the sample reported that they listened to loud music on headphones regularly, and 85% of the sample were found not to have hearing problems, are the events {having hearing problems} and {listening to loud music on headphones} independent? Explain your reasoning