Unit8 Probabilities Practice Problems

Select all of the words for which the probability of selecting the letter E at random is 1/3 .

• THE

• BEST

• SNEEZE

• FREES

• SPEECH

A student picks a random letter from the word CAT and a random letter from the word MEOW. How many outcomes are in the sample space? And, what is the probability that a "C" is chosen ?

• 12 possible outcomes

  P(C)= 1/3

• 12 Possible outcomes

  P(C)=1/4

• 9 Possible outcomes

  P(C)=1/3

• 9 possible outcomes

  P(C)=1/4

List all the possible outcomes for spinning the spinner and flipping a fair coin

( Head: H , Tail: T )

• XH, XT, YH, YT, ZH, ZT

• XH, XT, YH, YT, ZH

• XH, XT, YH, YT, ZT

• XX, XT, YH, YY, ZH, ZT

TA spinner is divided into 5 equal sections. Two of them are red, one of them is orange, one of them is yellow, and one of them is green. For a single spin: The probability that it lands on red is ​ (a)   ​ . The probability that it lands on orange or yellow is ​

​ (b)   . The probability that it lands on blue ​ (c)  

• 2/5
• 1/5
• 5/2
• 3/5
• 0
• 1/4

What is the probability of the spinner landing on the section labeled P after a single spin?

• 1/8

• 1/5

• 1/4

• 1/2

This two-way table shows the results of asking students if they prefer to have gym class in the morning or the afternoon.

The number of the students participated in the survey is

(a)   . The number of the students in grade 8 prefer to have gym in the morning is ​ (b)   . The number of the 10th grade students participated in the survey is ​ (c)   . The number of the students prefer to have gym in the afternoon is ​ (d)   .​ ​

• 100
• 18
• 38
• 55
• 12
• 39
• 23
• 45

The table shows the results from a survey that asked adults if they had a high school diploma and if their annual income was more than $30.000.

A person who took the survey is selected at random.

The probability that the person has a high school diploma and makes or less $30.000 is

• 0.68

• What is the probability that the person has no high school diploma and earns more than $30.000 ?

• 0.21

• What is the probability that the person has a high school diploma and makes $30,000 or less?

• 0.02

• What is the probability that the person has a high school diploma and makes more than $30,000?

The table shows data from a science fair experiment that studied the number of eggs that hatched at three different temperatures.

• %3

• What percentage of the eggs were not at room temperature?

• %57

• What percentage of the eggs that were at the cool temperature hatched?

• %24

• What percentage of the eggs were at the warm temperature and did not hatch?

• %67

• What percentage of the eggs hatched?

The table shows information from a survey about the resting heart rate in beats per minute (bpm) for people living at altitudes above and below 10.000 feet.

What is the probability that a person surveyed, selected at random, has a heart rate above 80 bpm or lives above 10.000 ft?

• 0.68

• 0.38

• 0.44

• 0.62

Many adults are selected at random to respond to a survey about their favorite season and whether they have allergies or not. The two-way table summarizes the results from the survey. Which season is the least popular in this group?​ (a)  

How many more people have allergies than people without allergies in this group? ​ (b)  

How many people were surveyed in this group? ​ ​ (c)   ​

• Spring
• Fall
• Winter
• Summer
• 21
• 23
• 25
• 225
• 252