Unit 8, Lesson 13
What Are Probabilities?
Accelerated 6
Practice
Problem 1
Different events have these likelihoods. Sort them from least to greatest:
60%
8 out of 10
0.37
20%
\(\frac{5}{6}\)
Problem 2
List the sample space for each chance experiment.
-
flipping a coin
-
selecting a random season of the year
-
selecting a random day of the week
Problem 3
A computer randomly selects a letter from the alphabet.
- How many different outcomes are in the sample space?
- What is the probability the computer produces the first letter of your first name?
Problem 4
What is the probability of selecting a random month of the year and getting a month that starts with the letter “J”? If you get stuck, consider listing the sample space.
The science teacher gives daily homework. For a random sample of days throughout the year, the median number of problems is 5, and the IQR is 2. The Spanish teacher also gives daily homework. For a random sample of days throughout the year, the median number of problems is 10, and the IQR is 1. If you estimate the median number of science homework problems to be 5 and the median number of Spanish problems to be 10, which is more likely to be accurate? Explain your reasoning.
Problem 6
Diego wants to survey a sample of students at his school to learn about the percentage of students who are satisfied with the food in the cafeteria. He decides to go to the cafeteria on a Monday and ask the first 25 students who purchase a lunch at the cafeteria if they are satisfied with the food.
Do you think this is a good way for Diego to select his sample? Explain your reasoning.