Theoretical/Simple Events
Experimental
Definitions
How Likely is it?
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
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
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
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
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
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
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
Define "favorable outcome"
The outcomes of a specific event. For example the favorable outcomes of rolling an even number with a die are 2,4, and 6.
400
How likely is it that a number cube is tossed and lands on any number 1-6?
Certain
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 experimental is 14/40 = 35% vs. 8/20 = 40% for theoretical so a difference of 5%
Blue is 16/40 = 40% vs. 10/20 = 50% so a difference of 10%
Yellow is 10/40 = 25% vs. 2/20 = 10% so a difference of 15%
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
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