Math Review Midterm Equations Probability Ratio

Tyler is doing an experiment in which he rolls a six-sided number cube numbered 1-6 and flips a coin. Which list shows all possible outcomes of rolling the number cube and flipping the coin?

• (1 , heads), (2 , heads), (3 , heads), (4 , tails), (5 , tails), (6 , tails)
• (1 , heads), (2 , heads), (3 , heads), (4 , heads), (5 , heads), (6 , heads), (1 , tails), (2 , tails), (3 , tails), (4 , tails), (5 , tails), (6 , tails)
• (1 , heads , tails), (2 , heads , tails), (3 , heads , tails), (4 , heads , tails), (5 , heads , tails), (5 , heads , tails), (6 , heads, tails)
• (1 , 2 , 3 , 4 , 5 , 6) , (heads , tails)

Lyndsey is going to buy a new car. She has the options listed below.
Type: 2-door or 4-door
Interior: leather or cloth
Paint Color: black, white, red, blue
How many different cars are in the sample space?

• 8
• 12
• 24
• 16

Given the number cube and spinner shown, how many possible outcomes are there if you roll the number cube once and spin the spinner once?

• 24
• 10
• 6
• 4

A box of lollipops contains 4 strawberry lollipops, 3 sour apple lollipops, 2 grape lollipops, and 1 blue raspberry lollipop. Your friend takes a sour apple lollipop. What is the probability of you reaching the box, without looking, and getting a sour apple lollipop?

• 3/10
• 2/7
• 1/5
• 2/9

A bag contians 4 red tokens, 6 blue tokens, and 2 white tokens. One token is drawn from the bag and then replaced. Another token is then drawn from the bag. What is the probability that the first token was blue and the second token was white?

• 1/12
• 2/3
• 1/8
• 1/4

A recent survey showed that 64 out of 100 junior high students prefer to monitor their grades electronically. How many students will prefer a paper grade report if there are a total of 450 students?

• 162
• 288
• 286
• 250

A box contains 6 sugar cookies, 2 peanut butter cookies, and 7 chocolate chip cookies. What is the probability of picking a a sugar cookie from the box?

• 40%
• 25%
• 60%
• 84%

Suppose ten tosses of a coin were all heads. If you switch to a new coin, what is the probability that the next coin toss will result in another head?

• 1/1024
• 1/11
• 1/6
• 1/2

Below are the types of books checked out in the library in one day.
Science Fiction       28
Drama                     35
Mystery                   45
History                     17
Based on the data, what is the probability that the next student who checks out a book will NOT check out a mystery book?

• 9/25 , because the probability of checking out a mystery is 16/125
• 3/5 , because the probability of checking out a mystery is 2/5
• 16/125 , because the probability of checking out a mystery is 9/25
• 2/5 , because the probability of checking out a mystery is 3/5

Bryson has a bag of colored tiles. From an experiment, he determined that the probability of drawing a blue tile was 7 out of 10. If he draws 100 tiles, replacing each one after drawing, how many times can he expect to draw a blue tile?

• 7
• 70
• 30
• 50