PH3130 Data Analysis Homework #4 Basic Probability Please be sure to reduce fractions where applicable! ! Refer to this scenario for Q's #1-3 only: Suppose you have a group of patients in a waiting room where 7 of the patients have heart disease, and the remaining 3 patients do not have heart disease. The nurse will call Patient X next. 1. What is the probability that Patient X will have heart disease? 2. What is the probability that Patient X will not have heart disease? 3. If one of the heart disease patients decides to leave before Patient X is called, what is the probability that Patient X will n_ot have heart disease? 4. If you ip a single fair coin 10 times in a row and each time it comes up heads, what is the probability that the 11th toss will he heads? 5. If you ip two coins at the same time, what is the probability that at least one HEADS will come up? 6. What is the probability of picking any King from a deck of cards, and rolling an odd number on a single dice? 7. TRUE / FALSE : If you ip two coins at the same time, there are 10 possible outcomes. 8. Circle the shape of the simplest binomial distribution? 9. Explain in your own words what the Gambler's Fallacy is. 10. Probability is predictive, but not perfect. In a few sentences, explain why