1. The problem statement, all variables and given/known data 1) How many times must you roll two six-sided dice for there to be at least a 50% chance that you roll two 6's at least once? 2) It is estimated that 5.9% of Americans have diabetes. Suppose a medical lab uses a test for diabetes that 98% accurate for people who have the disease and 95% accurate for the people who do not have it. Find the conditional probability that a randomly selected person actually has diabetes given that the lab test says they have it. 2. Relevant equations -None- 3. The attempt at a solution Question One: Work: chance of rolling a six(dice one) x chance of rolling a six(dice two) x one half 1/6 x 1/6 x 1/2 = 1/72 72 rolls? Question Two: Work: P(accurate) x (accurate|don't have diabetes) - P(accurate) x (accurate|have diabetes) (.95 x .941)-(.98 x .059)= .89395-.83163 = about 5.782% ?