Theoretical
Maria is flipping a coin and spinning a spinner. The spinner has 4 equal sections labeled A-D. What is the probability the coin will land on heads and the spinner will land on the letter "A"?
1/8 or 0.125, or 12.5%
Hasaan has a spinner with 5 equal sections, each a different color. After only 10 spins, the pointer had landed on red 40% of the time. After a whopping 1,000 spins, the pointer landed on red only 22% of the time. How can Hasaan account for this change in experimental probability?
As the number of trials increase, the experimental probability reaches closer to the theoretical probability.
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
Define "probability"
The measure of how likely an event is to happen
How likely is it that a coin is flipped and lands on tails?
Equally likely
The classic wood carousel at Carousel Park in Hampton, VA 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%
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 85 marbles in the jar, how many can we assume are green?
30 green marbles
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
Define "experimental probability."
The probability of what actually occurs.
How likely is it that a number cube is tossed and lands on 3?
Unlikely
What is the probability of rolling two odd numbers in a row with a standard number cube?
1/4, or 0.25, or 25%
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%
Amiya and Keyshawn are candidates for class president of the 7th grade. Ajaye, Chishon, and Laura are candidates for vice president. How many winning combinations are possible?
6
Define "theoretical probability."
It is the probability of what should occur.
How likely is it that a number cube is tossed and it lands on 8?
There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. One marble is taken out and not replaced. A second marble is then taken out and not replaced. What is the probability both marbles that were taken out are red?
1/5, or 0.20, or 20%
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%
Ms. French 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
Define "compound event."
An event that includes two or more simple events.
How likely is it that a number cube is tossed and lands on any number 1-6?
Certain
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%
A six-sided die is thrown 50 times. Using the list below, calculate the difference between the theoretical and experimental probability.
[Number on Die, How Many Times it Landed on that Number] [1, 8] [2, 6] [3, 7] [4, 12] [5, 10] [6, 7]
The difference is 3%.
(Theoretical = 17%, Experimental = 14%)
How many possible outcomes are there when rolling a 6 sided dice three times?
216
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.
How likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely