In a board game, you must roll two 6-sided number cubes. you can only start the game if you roll a 1 on at least one of the number cubes. make a list of all the different possible outcomes when two number cubes are rolled. (2 points for listing all of the possible outcomes) what fraction of the possible outcomes is favorable? (1 point for the correct numerator/1 point for the correct denominator) suppose you rolled the two number cubes 100 times, would you expect at least one 1 more or less than 34 times? explain. (1 point for your explanation)

Arandomized controlled trial is designed to evaluate the effect of metoprolol in patients with heart failure. while preparing for statistical analysis, the researcher reviews some common types of statistical errors. which of the following statements is true regarding a type i error in a clinical study? a. the study is not significantly powered to detect a true difference between study groups. bthe null hypothesis is true but is rejected in error. c. the null hypothesis is false but is accepted in error. d. type i error is also known as beta and is usually 0.1 or 0.2. e. type i error depends on the study's confidence interval.