Can you make a Math sample work, answering these questions
What are the number of possible combo meals?
What are the different combo meals?
What is the probability of a meal being chosen?
And also answer questions about this:?
Table 1. Simulation of 150 Trials for Random Selection of Combo Meals Combos MH MT EH ET AH AT LH LT Frequency 1 10 15 20 25 16 24 18 22
Questions: What are the different combo meals? Show the tree diagram and explain how it was obtained.
What is the number of possible combo meals? Count the number of pairs (entree + dessert) that can be traced from the tree diagram. You may introduce a shortcut formula to verify the result found. Stress that the number of combo meals is equal to the product of 4 and 2, which is 8.
What is the probability a person will choose a given meal? To approximate the probability a person will choose a given meal, take the relative frequency for each meal. For example, to calculate the probability of a person to choose a combo meal EH, Diana needs to divide 20 by 150 and obtain approximately 13.33%.
Answers:
- The number of possible combo meals is 8 (MH, MT, EH, ET, AH, AT, LH, LT).
- The different combo meals are MH, MT, EH, ET, AH, AT, LH, LT.
- The probability of a meal being chosen can be calculated by dividing the frequency of a specific combo meal by the total number of trials (150).
- To answer the questions about Table 1:
- The tree diagram for the different combo meals can be constructed by listing all possible pairings of entrees and desserts (MH, MT, EH, ET, AH, AT, LH, LT).
- The number of possible combo meals can be counted by listing the pairs on the tree diagram, which results in 8 combos.
- The shortcut formula for calculating the number of combo meals is 4 (number of entrees) x 2 (number of desserts), which equals 8.
- The probability a person will choose a given meal can be calculated by taking the frequency of that meal and dividing it by the total number of trials. For example, the probability of choosing combo meal EH is 20/150 = 13.33%.