The numbers 1–15 are written on note cards and placed in a bag. One card will be drawn from the bag at random. 1. List the sample space for this experiment.

2. Are the events, selecting an even number and selecting an odd number, equally likely? Explain your answer.

3. Are the events, selecting a number divisible by 3 and selecting a number divisible by

5, equally likely? Explain your answer.

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.