Theoretical
You have one standard 6 sided dice, what is the probability of rolling a number greater than 4?
2/6 or 1/3 or about 33%
Nicky has a spinner with 5 equal sections, each a different color. After 10 spins, the pointer had landed on red 40% of the time. Bur after 1,000 spins, the pointer landed on red only 22% of the time. Why was there a change in the experimental probability?
More trials. As the number of trials increased the closer the theoretical and experimental probability are.
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
If you flip a coin 10 times, about how many times should it land on heads?
5 times
Define theoretical probability
It is the probability that should occur, based on logic.
The classic wood carousel at a Park in New York has 32 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?
2/3 or about 67%
A letter tile is randomly selected from a bag, recorded, and replaced 90 times. The results are listed below. What is the experimental probability of selecting the letter "E"? A = 6 E = 11 I = 29 O = 19 U = 25
11/90 or 0.12, or 12%
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
You have a spinner with four equal sections that are blue, red, green, and yellow. If you spin it 100 times, about how many times should you land on yellow?
25 times
Define Experimental Probability
The probability of what actually occurs during an experiment
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%
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 chick? Woodpecker = 3 Chick = 5 Cardinal = 1 Sparrow = 13 Blue Jay = 3
1/5, or 0.20, or 20%
How many possible outcomes are there if you flip a coin and pick a card out of a deck of cards?
There are 20 students in Ms. Williams class. The theoretical probability of choosing a female student to answer a question is 40%. How many girls are in the class?
8 girls
How likely is it that a number cube is tossed and lands on a number 4 or greater?
Equally Likely
Camillo 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 bag contains red, blue, and yellow marbles. A student randomly selects a marble, records the color, and replaces it. These are the results:
Compare the experimental probability to the theoretical probability of picking a yellow marble.
The experimental probability (40%) is greater than the theoretical probability (33%).
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 jacket, a navy blue jacket, and a gray jacket. What is the probability that the first outfit she wears is the gray jacket with a pink blouse?
1/12 or about 8%
A jar contains red, blue, and green marbles. A student draws a marble, records the color, and then replaces it. After 30 draws, the results are:
Predict how many blue marbles would be drawn if the experiment was done 83 times.
24.9 so about 25 blue marbles
A bag contains 2 red, 3 blue, and 5 green marbles. You randomly select one marble. What is the likelihood of drawing a blue marble?
If you roll two standard 6 sided dice, what is the probability of rolling and both land on odd numbers?
1/4, or 0.25, or 25%
A six-sided die is thrown 12 times. Using the list below, how does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3?
The data on the experiment
1 3 2 6 3 7 4 12 5 10 3 7
The experimental probability is higher than the theoretical probability. (Theoretical = 17%, Experimental = 25%)
How many possible outcomes are there if you roll TWO six sided dice and spin a 4 sided spinner?
144
A student rolls a six-sided die 50 times and gets the following results:
Predict how many times the student would roll a 5 if they rolled the die 120 times.
24 times
Probability is always between what two numbers?
0 and 1