Homework Explained - Math Practice 101

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• Question 11

Jason, Erik, and Jamie are friends in art class. The teacher randomly chooses 2 of the 21 students in the class to work together on a project. What is the probability that two of these three friends will be chosen?

• $$\frac{1}{105}$$
• $$\frac{1}{70}$$
• $$\frac{34}{140}$$
• $$\frac{4}{50}$$
• Question 12

Philip rolls a number cube 12 times. Which is the best prediction for the number of times that he will roll a number that is odd and less than 5?

• 2
• 3
• 4
• 6
• Question 13

A survey reveals that one airline’s flights have a 92% probability of being on time. Based on this, out of 4000 flights in a year, how many flights would you predict will arrive on time?

• 368
• 386
• 3680
• 3860
• Question 14

Matt’s house number is a two-digit number. Neither of the digits is 0 and the house number is even. What is the probability that Matt’s house number is 18?

• $$\frac{1}{45}$$
• $$\frac{1}{36}$$
• $$\frac{1}{18}$$
• $$\frac{1}{16}$$

• Question 15

Laura picked a crayon randomly from a box, recorded the color, and then placed it back in the box. She repeated the process and recorded the results in the table.

a. The next crayon Laura picks is red.

• Question 15

b. The next crayon Laura picks is not red.

• Question 16

For breakfast, Trevor has a choice of 3 types of bagels (plain, sesame, or multigrain), 2 types of eggs (scrambled or poached), and 2 juices (orange or apple).

a. Use the space below to make a tree diagram to find the sample space.

• Type below:
• Question 16

b. If he chooses at random, what is the probability that Trevor eats a breakfast that has orange juice?

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