Theoretical
Experiment
Vocabulary
How Likely is it?
Miscellaneous
100
ONE DICE IS THROWN, WHAT IS THE PROBABILITY OF ROLLING A 3
1/6
100
Tiles with the numbers 1 through 9 are placed in a bag. What is the probability of choosing an even number that is greater than or equal to 4?
3/9
100
Select all of the events that are possible, but unlikely.
A. Opening a 300-page book to exactly page 143.
B. A second grade classroom contains some books.
C. You will roll a 7 on a standard 6-sided number cube.
D. Everyone in your school will get to school on time on the next school day.
E. A triangle has 3 sides
a & d
100
How likely is it that a coin is flipped and lands on tails?
1/2
100
What are the odds of rolling a 5 on a six sided die?
1/6
200
A carousel has 2 jumping horses and 2 standing horses. What is the probability of randomly selecting a jumping horse?
2/4, or 0.50, or 50%
200
Han heard that the school’s football team has a 1/3 probability of winning each of their next 5 games. Select all the ways Han could accurately simulate the number of games the football team will win.
A. Roll a standard number cube 5 times. Count the number of 1's and 2's.
B. Put the numbers 1 through 5 in a bag. Pick a number from the bag.
C. Roll a standard number cube 5 times. Count the number of ones.
D. Mark a spinner with 3 equally-sized sections. Write “win” on 2 of the sections. Spin the spinner 5 times and count the number of times it lands on “win.”
E. Put 2 white chips and 1 red chip in a bag. Draw a chip from the bag, record its result, and put it back in the bag. Do this 5 times and count the number of red chips drawn.
a & e
200
Select all the events that have a probability of 0.
A. Choosing a red block from a bag with 9 white blocks and 1 red block.
B. Rolling a 6, three times in a row, on a standard number cube.
C. Rolling a 7 on a standard number cube.
D. Opening a 400-page book to exactly page 231.
E. Opening a 400-page book a page number greater than 450.
c & e
200
How likely is it that a number cube is tossed and lands on 3?
1/6
200
There are 3 green marbles and 7 yellow marbles in a bag. What are the odds that you will choose a yellow marble?
7/10
300
What is the probability of rolling two odd numbers in a row with a standard number cube?
9/36, 1/4, or 0.25, or 25%
300
The basketball coach says that based on Noah's free throws this season, Noah has a 3/4 probability of making each free throw. Select all the ways Noah could accurately simulate the number of free throws he will make in his next 6 attempts.
A. Flip a coin 6 times. Count the number of heads.
B. Make a spinner with 6 equally-sized sections, labeled with the numbers 1 through 6. Spin the spinner 6 times and count how many times the spinner lands on 3 or 4.
C. Put 3 red chips and 1 white chip in a bag. Draw a chip from the bag, record the
result, and put it back in the bag. Do this 6 times and count the number of red chips drawn.
D. Make a spinner with 4 equally-sized sections. Color three sections green and one sections red. Spin the spinner 6 times and count the number of times the spinner lands on green.
E. Put the numbers 1 through 6 in a bag. Pick a number from the bag.
c & d
300
Imagine that there is a spinner with 5 equal sections, and also a standard number cube. You spin the spinner and roll the cube. This is a situation that involves 2 parts (the spinner and the cube) and has a total of 30 outcomes in the sample space. Describe a situation that involves 3 parts and has a total of 36 outcomes in the sample space.
Answers vary. Sample response: flip a coin, roll a standard number cube, and choose one letter from the word CAT.
300
How likely is it that a number cube is tossed and it lands on 8?
never going to happen
300
List the sample space for each chance experiment.
Flipping a coin
heads/tails
400
There are 3 red marbles, 2 green marbles. One marble is taken out and replaced. A second marble is then taken out. What is the probability that a red marble and then another red marble is chosen
9/25
400
A frozen yogurt store sells 3 different flavors of yogurt: vanilla, chocolate, and strawberry. An order of frozen yogurt comes with 4 different topping choices: fudge, caramel, fruit, or plain. How many unique ways can you order a frozen yogurt? (You can only select one flavor of yogurt and one topping).
12
400
A game uses a special deck of cards with 40 cards numbered from 1 to 40. You draw a card from the shuffled deck.
What is the probability of drawing a card that is divisible by 2? Explain your reasoning.
20/40 or 1/2
400
How likely is it that a number cube is tossed and lands on any number 1-6?
100%
400
List the sample space for each chance experiment.
Selecting a random season of the year
winter spring summer fall
500
Jarvonya spins a spinner with 5 equal sections numbered 1-5 and she spins another spinner with 5 equal sections with the letters A-E. What is the probability she will spin a 4 and a B?
1/25 or 0.04, or 4%
500
A movie theater sells 3 different sizes of popcorn: small, medium, and large. An order of popcorn comes with 3 different topping choices: butter, cheese, or caramel. How many unique ways can you order a bag of popcorn? (You can only select one topping.)
9
500
A game uses a special deck of cards with 40 cards numbered from 1 to 40. You draw a card from the shuffled deck.
What is the probability of drawing a card that is divisible by 5? Explain your reasoning.
8/40 or 1/5
500
A game uses a special deck of cards with 40 cards numbered from 1 to 40. You draw a card from the shuffled deck.
What is the probability of drawing a card that is divisible by 10? Explain your reasoning.
4/40 or 1/10
500
What is the probability that a patient did not get well given that they did have medicine?
10/45