Theoretical
Experimental
Wild Card
Vocabulary
How Likely is it?
100
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%
100
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. (The Law of Large Numbers)
100
What is a sample space?
All possible outcomes.
100
Define "theoretical probability."
It is the probability of what should occur.
100
How likely is it that a coin is flipped and lands on tails?
Equally likely
200
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?
1/2, or 0.50, or 50%
200
Jason flipped a coin 10 times, and had the following results. H T H H T H T T T H
What is experimental probability of getting heads?
200
Could the following be a probability? Explain why or why not. 8/5
No, the denominator is the total number of outcomes, so it must be the largest number.
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
Draw a tree diagram to represent the sample space of rolling a number cube twice. What is the probability of rolling 2 odd numbers?
1/2 = 50%
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
You have a bag of 3 red skittles, 5 purple, and 2 orange. How many skittles should you add so that the bag is half red skittles?
4
300
Describe the difference between events that are certain, likely, equally likely, unlikely, or never going to happen.
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 never is anything that has a 0% chance of occuring.
300
How likely is it that a number cube is tossed and it lands on 8?
never going to happen
400
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 that the second marble was red?
2/5
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
You have a bag of 3 red skittles, 5 purple, and 2 orange. How will the probability of grabbing a purple skittle change if you triple every color of skittles in the bag.
It won't chance!! P(purple)=5/10=1/2 P(purple large bag)=15/30=1/2
400
What is the Law of Large Numbers?
The more trials that are run, the close experimental probability will be to theoretical probability.
400
How likely is it that a number cube is tossed and lands on any number 1-6?
Certain
500
The probability of an event is 4/15. What is the probability that the event will NOT occur?
11/15
500
A six-sided die is thrown 50 times. Using the list below, how does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3? Number on Die How Many Times it Landed on that Number 1 8 2 6 3 7 4 12 5 10 6 7
The theoretical probability is higher than the experimental probability. (Theoretical = 17%, Experimental = 14%)
500
What is the probability of rolling two 4's in a row on a number cube?
1/16
500
What is a compound event?
When two events must occur together.
500
How likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely
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