1. What is the experimental probability that the next customer buys any red notebooks?
Chart:
Red
100 Pages 55 notebooks
150 Pages 60 notebooks
200 Pages 23notebooks
Green
100 pages 37 notebooks
150 pages 44 notebooks
200 pages 19 notebooks
Blue
100 pages 26 notebooks
150 pages 57 notebooks
200 pages 21 notebooks
Yellow
100 pages 12 notebooks
150 pages 27 notebooks
200 pages 19 notebooks
2. How many possible combined page count and color choices are possible? How does this number relate to the number of page size choices and to the number of color choices?
The answer is 60 over 400 (60/400) and when you simplify it, it's 3 over 20 divide that and you have 0.15 or 15%. It's very unlikely.
Okay for question 1 or part A: "What is the experimental probability that the next customer buys a red notebook with 150 pages?", if your'e writing it in a fraction, it would be 3/20(Simplified). If your'e writing it in a percentage, it would be 15%. For question 2 or part B: "What is the experimental probability that the next customer buys any red notebooks?", if your'e writing it in a fraction, it would probably be the same thing from part B. It could be 60/400 or if simplified, 3/20. Percentage is unknown for part B.
1. To find the experimental probability that the next customer buys any red notebooks, we need to calculate the ratio of the number of red notebooks to the total number of notebooks across all colors.
First, we add up the number of red notebooks:
55 red notebooks (100 pages) + 60 red notebooks (150 pages) + 23 red notebooks (200 pages) = 138 red notebooks
Next, we calculate the total number of notebooks across all colors:
138 red notebooks + 37 green notebooks + 26 blue notebooks + 12 yellow notebooks = 213 total notebooks
Finally, we divide the number of red notebooks by the total number of notebooks:
138 red notebooks / 213 total notebooks ≈ 0.648 (rounded to three decimal places)
Therefore, the experimental probability that the next customer buys any red notebooks is approximately 0.648.
2. To calculate the number of possible combined page count and color choices, we multiply the number of choices for the page count by the number of choices for the color.
In this case, we have 3 page size choices (100 pages, 150 pages, and 200 pages) and 4 color choices (red, green, blue, and yellow).
Thus, the number of possible combined page count and color choices is:
3 page size choices × 4 color choices = 12 possible choices
The number of possible combined page count and color choices (12) is equal to the number of page size choices (3) multiplied by the number of color choices (4).
Therefore, the number of possible combined page count and color choices is directly related to the number of page size choices and the number of color choices by multiplication.