Theoretical/Simple Events
Experimental
Sample Space
Definitions
How Likely is it?
Theoretical/Compound Events
100
You pick one card at random from a standard deck of 52 playing cards. What is the probability of randomly picking a red card?
1/2
100
The experimental probability that Kamden will catch a fly ball is equal to 7/8. About what percent of the time will Kamden catch a fly ball?
87.5%
100
You are trying to decide what to wear to school. You know you have a green pair of pants, a red pair, and a blue pair. You also have a brown shirt, a plaid shirt, and a yellow shirt. How many different outfit combinations can you make?
9
100
Define "probability."
The measure of how likely an event is to happen
100
How likely is it that a coin is flipped and lands on tails?
Equally likely/As likely as not
100
In a game four cards are labeled N, S, E, and W. Two tiles are numbered 1 and 2. Two discs are red and blue. A player randomly selects one card, one tile, and one disc.
What is the probability the player selects a card with S, a tile with 1, and a blue disc?
1/16
200
The carousel at Hometown Days has 32 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?
2/3, or 0.66, or 66.6%
200
Mario has drawn and replaced a marble out of a jar 34 times. 12 of the times he has drawn a green marble. If there are 102 marbles in the jar, how many can we assume are green?
36 green marbles
200
What is the number of possible outcomes for spinning one spinner with 8 equal sections and another spinner with 6 equal sections?
48 possible outcomes
200
Define "experimental probability."
The probability of what actually occurs.
200
How likely is it that a number cube is tossed and lands on 3?
Unlikely
200
In a game four cards are labeled N, S, E, and W. Two tiles are numbered 1 and 2. Two discs are red and blue. A player randomly selects one card, one tile, and one disc.
What is the probability the player selects a card with S or E, a tile with 2, and a red disc?
2/16 or 1/8
300
Each card in a set of cards has one of the letters from the word mathematics. The cards are shuffled. What is the probability of drawing the letter m?
2/11
300
A letter tile is randomly selected from a bag, recorded, and replaced 100 times. The results are listed below. What is the experimental probability of selecting the letter "E"? A = 16 E = 11 I = 29 O = 19 U = 25
11/100 or 0.11, or 11%
300
Devon and Lyriic are candidates for class president of the 7th grade. Emily, Parker, and Emma are candidates for vice president. How many winning combinations are possible?
6
300
Define "theoretical probability."
It is the probability of what should occur.
300
How likely is it that a number cube is tossed and it lands on 8?
Impossible
300
A three-character code uses the letters D and Q. Either of the letters may be repeated.
Find the probability of the code QDQ?
1/8
400
At a school health fair, individual pieces of fruit are placed in paper bags and distributed to students randomly. There are 20 apples, 15 apricots, 25 bananas, 25 pears, and 30 peaches. What is the probability of not getting an apple?
95/115, 19/23
400
Pedro recorded the types of birds that visit his bird feeder. Based on the results below, what is the probability the next bird will be a chickadee? Woodpecker = 3 Chickadee = 5 Cardinal = 1 Sparrow = 13 Blue Jay = 3
1/5, or 0.20, or 20%
400
Ms. Marton is packing for a trip. She packs a white blouse, a pink blouse, a blue blouse, and a green blouse. She also packs a black suit, a navy blue suit, and a gray suit. How many combinations are in the sample space?
12
400
Define "compound event."
An event that includes two or more simple events.
400
How likely is it that a number cube is tossed and lands on any number 1-6?
Certain
400
A three-character code uses the letters D and Q. Either of the letters may be repeated.
What is the probability of a code with exactly two Ds?
3/8
500
A jar contains 8 red marbles, 10 blue ones, and 2 yellow ones. One marble is chosen at random. The color is recorded in the table, and then it is returned to the jar. This is repeated 40 times. 
For which color marble is the experimental probability closest to the theoretical probability? Explain.
Red
Red is 1/5 vs. 7/20 so a difference of 1/20
Blue is 1/2 vs. 2/5 so a difference of 1/10
Yellow is 1/10 vs. 1/4 so a difference of 3/20
500
A six-sided die is thrown 54 times. Using the list below, calculate the difference between the theoretical and experimental probability of rolling a 1.
[Number on Die, How Many Times it Landed on that Number] [1, 9] [2, 7] [3, 8] [4, 13] [5, 10] [6, 7]
They are the same. 6/54 = 1/9, so we would expect the 1 to be rolled 9 times, and it was.
500
How many possible outcomes are there when rolling a 6 sided dice three times?
216
500
Describe the difference between events that are certain, likely, equally likely, unlikely, or impossible
Certain would be 100% of the time, likely is anything greater than 50% of the time, equally likely is exactly 50% of the time, unlikely is anything less than 50% of the time, and impossible is anything that has a 0% chance of occurring.
500
How likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely
500
Alex rolls two number cubes. What is the probability that the sum of the numbers he rolls is less than 6?
5/18