Miscellaneous
Likelihood
Theoretical vs. Experimental
Compound Events
Predicting Outcomes
100
Polly wants nuts and fruit as a snack. She has a choice of either cashews or almonds. She can choose either banana or apple to complete her snack. Which list shows all possible combinations of one type of nut and one type of fruit Polly can choose from?
A. (cashews, apple; cashews, banana; almonds, banana)
B. (cashews, banana; cashews, apple; almonds, banana, almonds, apple)
C. (cashews, banana; almonds, banana)
D. (cashews, apple; cashews, banana; almonds, banana)
What is B?
100
The chance of Katie winning in her class is 34/51 and the chance of Mario winning in his smaller class is 12/20. Which student has a greater likelihood of winning?
Who is Katie?
100
If a 6-sided die is rolled, what is the probability of rolling a number less than or equal to 2?
What is 1/3 or 0.3333333 or 33%?
100
If the die is rolled 300 times, how many times would you predict a roll of a 1 or a 6?
What is 100 times?
200
At Northeast Middle School, students have several options for lunch each day. For the main dish, students can choose a char-meck-nator, pizza, caesar salad, or chicken sandwich. For a side item, students can choose either an orange, carrot sticks, or chips. For dessert, students can choose either a cookie or a rice crispy treat. Each student will also receive a carton of milk. How many different variations can students choose for their main dish, side item, dessert, and drink?
What is 18 total possible combinations?
200
Each year in middle school, students are randomly assigned to one of 4 electives. The probability of a random student being assigned to each elective is shown below:
Elective | Art | Band | Chorus | Computers
Probability | 0.28 | 0.15 | 0.3 | ??
If every student is assigned to an elective, what is the probability that a student is assigned to computers?
What is 0.27?
200
Marco can fit 5 people in his car, including himself, but 5 of his friends want to ride with him to the track meet. His friends are Brian, Mary, Lindsay, Katie, and Scott. To decide, Marco writes each of his friends' names on a separate people of paper and selects one. What is the theoretical probability that Marco picks a boy?
What is 2/5 or 0.40 or 40%?
200
The probability that the Cubs win their first game is 
. The probability that the Cubs win their second game is 
. What is the probability that the Cubs win both games?
What is answer choice #2?
200
You plant 30 African violet seeds and 9 of them sprout. Use experimental probability to predict how many will sprout if you plant 20 seeds?
What is 6 seeds sprouted?
300
the number of times that the event occurs during experimental trials, divided by the total number of trials conducted.
What is relative frequency?
300
Jaime collects data throughout the football season and uses this data to determine the probabilities of different teams playing in the league championship game. The probabilities of his favorite teams playing in the championship are shown below:
- Blues: P = 2/5
- Greens: P = 4/9
- Oranges: P = 1/3
- Reds: P = 3/8
Which of these teams is most likely to play in the championship game?
What is Greens team?
300
A die is tossed 64 times and lands on 2 eight times. Find the experimental probability of landing on a 2.
What is 8/64 = 1/8 or 0.125 or 12.5%?
300
A carnival game has 125 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.
If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.
After 50 people have played the game, only 6 of them have won a small prize, and none of them have won a large prize.
Estimate the number of the 125 ducks that you think have red marks on the bottom.
What is 15 ducks with red marks?
400
the set of all possible outcomes in an experiment
What is the sample space?
400
Scientists are saying that the probability that Volcano X will erupt this month is “highly likely.”
Which of the following is most in agreement with the statement above?
A. There is a 31% chance that Volcano X will erupt this month.
B. There is a 50-50 chance that Volcano X will erupt this month.
C. There is a 9 out of 20 chance that Volcano X will erupt this month.
D. There is a 
chance that Volcano X will erupt this month.
What is answer choice D?
400
Johnny spins the spinner 60 times. His results are below:
Color | Red | Blue | Yellow | Black
Spins | 15 | 17 | 21 | 7
Which color had an experimental probability that matched its theoretical probability?
What is red?
400
A jar contains four balls. Each ball has one letter printed on it. The letters are A, E, D, and G. LeeAnn draws one ball from the jar and looks at its letter. Then she draws a second ball without replacing the first, and looks at its letter.
What is the probability that LeeAnn picked two balls that had the same letter?
- 0
What is answer choice #1?
400
A student is taking a multiple-choice test that has 48 questions. Each question has four answer choices. If the student guesses randomly on every question, how many questions should the student expect to answer correctly?
What is 12 questions?
500
uses multiplication of the number of way each event in an experiment can occur to find the total possible outcomes in the sample space.
What is the fundamental counting principal?
500
Serena changes the number 2 to a 5 on the spinner.
What are the chances of landing on an odd number?
A. Less likely
B. Most likely
C. Equally likely
D. Impossible
What is most likely?
500
Jeremy has four cards, one of each shape: triangle, heart, circle, and square. The heart card is randomly chosen 7 out of 12 times during an experiment. What is the theoretical probability of choosing a heart?
What is 1/4 or 0.25 or 25%?
500
The probability that it will rain tomorrow is 
. The probability that our team will win tomorrow’s basketball game is 
. Which expression represents the probability that it will rain and that our team will not win the game?
What is answer choice #4?
500
If a car factory checks 120 cars and 12 of them have defects, how many out of 560 will NOT have defects?
What is 504 cars without defects?