In: Statistics and Probability
1: A survey questioned 1,000 high school students. The survey revealed that 46% are honor roll students. Of those who are honor roll students, 45% play sports in school and 21% of those that are not honor roll students, don't play sports. What is the probability that a high school student selected at random plays sports in school?
2: One of two small classrooms is chosen at random with equally likely probability, and then a student is chosen at random from the chosen classroom. Classroom #1 has 5 boys and 11 girls. Classroom #2 has 14 boys and 9 girls. What is the probability that Classroom #2 was chosen at random, given that a girl was chosen? Your answers should be rounded to 4 digits after the decimal.