Simple Events & SAMPLE SPACE
Predictions:
Experimental & Theoretical
Experimental & Theoretical
Qualitative & Quantitative Predictions
Experimental & Theoretical Probability
100
Donte spins the spinner below.
What is the probability the spinner will NOT land on a vowel?
What is...
3/4
100
The list below shows the different choices of pizza at the local pizza shop:
•Pepperoni: 11
•Supreme: 7
•Cheese: 6
•Hawaiian: 3
Based on these results, what is the theoretical probability of choosing a Hawaiian pizza?
What is...
1/9
100
Last week, an electronics store received a shipment of 30 calculators. Three of the calculators were defective. This week, the store receives a shipment of 150 calculators. Predict how many more defective calculators are in this week’s shipment.
What is...
15
100
A classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and 12 seats in the back row. The teacher randomly assigns seats to students as they enter the classroom.
What is the probability that the first student who enters the classroom will be assigned a seat in the front row?
What is...
4/15
200
Students standing in line for lunch were surveyed about their favorite meal. Their responses are shown below.
If one student is picked randomly, then which of the following is true?
A The student’s favorite meal is half as likely to be pizza than spaghetti.
B The student’s favorite meal is more likely to be fajitas than pizza.
C The student’s favorite meal is twice as likely to be spaghetti than pizza.
D The student’s favorite meal is twice as likely to be fajitas than spaghetti.
What is...
D The student’s favorite meal is twice as likely to be fajitas than spaghetti.
200
A bag contains:
- 5 red marbles
- 6 blue marbles
- 3 green marbles
- 4 black marbles
- 2 yellow marbles
A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
What is...
35
200
The 200 students in a school band will attend an awards dinner. A random survey of 25 of these students was conducted to determine how many of each meal should be prepared for the dinner. The results of the survey are shown.
- 12 students want a beef meal.
- 8 students want a chicken meal.
- 5 students want a pasta meal.
Based on the survey results, which of these is the best prediction of the meals wanted by the 200 students?
A There are 16 students who want a beef meal.
B There are 52 students who want either a chicken meal or a pasta meal.
C There are 32 more students who want a beef meal than want a chicken meal.
D There are 24 more students who want a pasta meal than want a chicken meal.
What is...
C There are 32 more students who want a beef meal than want a chicken meal.
200
A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on the top face was recorded. The table shows the results.
Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with a 5 or 6 showing on the top face?
What is...
2/5
300
The number cube is rolled and a coin is tossed.
Which list contains only the outcomes in which the number cube lands on a number less than 4?
What is...
300
Vincent flipped three coins during a probability experiment. The outcomes of the first 40 trials are shown in the table.
Based on the information in the table, in how many of the next 120 trials will the outcome be exactly two of the coins showing heads?
What is...
48
300
Leticia has two bouquets of flowers. Each bouquet contains 13 daisies.
- Bouquet S contains 30 flowers.
- Bouquet T contains 13 flowers.
Which statement is true?
A The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from Bouquet T.
B The probability of randomly selecting a daisy from Bouquet S is 1.
C The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T.
D The probability of randomly selecting a daisy from Bouquet S is
1/3
.
What is...
A The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from Bouquet T.
300
Rachel is setting up tables for a party. Four of the tables are covered with red tablecloths, and eight of the tables are covered with white tablecloths.
Guests will be randomly seated at the tables when they arrive. Each table can seat 8 guests.
What is the probability that the first guest to arrive will be seated at a table with a red tablecloth?
What is...
1/3
400
The spinner shown is divided into congruent sections that are labeled from 1 through 7.
If the spinner is spun one time, what is the probability of the arrow not landing on a section labeled with an odd number?
What is...
3/7
400
The spinner shown has eight congruent sections.
The spinner is spun 120 times. What is a reasonable prediction for the number of times the spinner will land on an even number?
What is...
45
400
The table shows the numbers of different types of pies sold at a bakery during one day.
Based on the results in the table, which statement about the pies sold at this bakery during one week is NOT true?
A It is two times as likely for a chocolate pie to be sold as for a lemon pie to be sold.
B It is equally likely for an apple or pecan pie to be sold as for a chocolate pie to be sold.
C It is more likely for an apple or lemon pie to be sold than for a pecan or chocolate pie to be sold.
D It is less likely for a pecan pie to be sold than for a lemon pie to be sold.
What is...
C It is more likely for an apple or lemon pie to be sold than for a pecan or chocolate pie to be sold.
400
Gabriel has these cans of soup in his kitchen cabinet.
- 2 cans of tomato soup
- 3 cans of chicken soup
- 2 cans of cheese soup
- 2 cans of potato soup
- 1 can of beef soup
Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?
What is...
1/25
500
A student will spin two spinners in an experiment. The tree diagram shows all possible outcomes of the experiment.
Which sample space is described by this tree diagram?
A {{(1, R), (1, T), (1, Z), (2, R), (2, T), (2, Z), (3, R), (3, T), (3, Z)}}
B {{(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (1, R), (1, T), (1, Z), (2, R), G (2, T), (2, Z), (3, R), (3, T), (3, Z)}}
C {{(1, 2, 3), (R, T, Z)}}
D {{(1, R, T, Z), (2, R, T, Z), (3, R, T, Z)}
What is...
A {{(1, R), (1, T), (1, Z), (2, R), (2, T), (2, Z), (3, R), (3, T), (3, Z)}}
500
A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back?
What is...
1120
500
The manager of a movie theater randomly surveyed 50 people who entered the movie theater on Friday. The manager asked about the type of movie each person preferred. The results of the survey are shown in the table.
Based on the results in the table, which statement about a person who will go to this theater next Friday is true?
A The person is three times as likely to prefer comedy as horror.
B The person is twice as likely to prefer drama as horror.
C The person is less likely to prefer horror or drama than action.
D The person is more likely to prefer horror or comedy than action or drama.
What is...
D The person is more likely to prefer horror or comedy than action or drama.
500
A bag contains flavored lollipops. A lollipop will be randomly selected from the bag.
- 17 lollipops are grape flavored
- 8 lollipops are cherry flavored
- 14 lollipops are watermelon flavored
- 16 lollipops are strawberry flavored
What is the probability in decimal form that the selected lollipop will be either cherry flavored or watermelon flavored?
What is...
0.4