Theoretical
DOUBLE POINTS (200):
A spinner has 4 equal sections labeled A-D. What is the probability the spinner will land on the letter "A" or "B" on the first spin?
1/2 or 50%
Bjorn 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 Bjorn account for this change in experimental probability?
As the number of trials increase, the experimental probability reaches closer to the theoretical probability.
DOUBLE POINTS (200):
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 "theoretical probability."
It is the probability of what should or what is expected to occur.
Using words, how likely is it that a coin is flipped and lands on tails?
Equally likely
A carousel has 32 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?
2/3 or 67%
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 11%
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, the results of an experiment.
DOUBLE POINTS (400):
Using words, how likely is it that a number cube is tossed and lands on 3?
Unlikely
What is the COMPOUND probability of rolling two odd numbers in a row with a standard number cube?
1/4 or 25%
If Gerald tosses a regular, 6-sided number cube 108 times and lands on 6 twenty times, what is higher, the experimental probability or the theoretical?
Experimental (20/108= 10/54 vs 1/6=9/54)
Bob and Amy are candidates for class president of the 7th grade. Aj, Kyle, and Laura are candidates for vice president. What is the probability that Amy and Aj win together?
1/6
Draw on a number line events that are certain, likely, equally likely, unlikely, or never going to happen, inlcuding their probabilities.
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.
Using words, how likely is it that a regular number cube is tossed and it lands on 8?
Impossible
There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. What is the COMPOUND probability of pulling out two marbles that are both green (replacing each after pulling)?
1/9 or 11.1%
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 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. What is the probability that the first outfit she wears has either the gray suit OR a pink blouse?
1 out of 2
What is the ratio for experimental probability?
The number of times an event occurs (recorded results) to the total number of trials
Using words, how likely is it that a number cube is tossed and lands on any number 1-6?
Certain
Beverly 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 OR a B? You will need to make a tree diagram for this.
9/25 or 36%
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?
Experimental:
1- landed 8 times, 2- landed 6, 3- landed 7, 4- landed 12, 5- landed 10, 6- landed 7
The theoretical probability is higher than the experimental probability. (Theoretical =1/6= 17%, Experimental = 7/50=14%)
What is the probability of rolling three 4's in a row on a number cube?
1/216
What is the other phrase for experimental probability?
Relative Frequency
Using words, how likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely