Theoretical
Maria is spinning a spinner. The spinner has 4 equal sections labeled A-D. What is the probability the spinner will land on the letter "A"?
1/4 or 0.25, or 25%
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)
A music store surveyed some of their customers to determine their favorite genre of music. The results are below. What is the probability that the next customer to walk in the door will like country music best?
Rock = 214 Jazz = 63 Country = 155
Other = 168
31/120 or 0.26 or 26%
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 0.67 or 67%
London flips a coin 75 times. It lands on heads 34 times and and tails 41 times. What is the experimental probability the next flip will be tails?
41/75 or 0.55 or 55%
George rolled a standard die 50 times and got the results shown below. If George rolled the die 250 times, how many times would you expect it to land on a 4?
Number Rolled 1 2 3 4 5 6
Frequency 8 6 7 12 10 7
60 times
What is the probability of drawing a red face card out of a standard deck of cards?
3/26 or 0.12 or 12%
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%
Jordon drew a marble out of a bag, replaced it, and drew again. He repeated this and recorded his results below. Based on these results, if he drew 150 marbles, how many times would you expect him to draw a blue or green marble?
blue = 8 red = 17 green = 5 yellow = 20
39 times
Mr. Rose randomly selects names to see who will give the first book report. There are 10 boys and 14 girls in his class. What is the probability that he will select a girl’s name?
7/12 or 0.58 or 58%
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%
Isha surveyed her friends to see which candy was their favorite. The results are below. If she surveyed 500 students, about how many of them are likely to choose Sour Patch Kids as their favorite candy?
Skittles = 8 Starburst = 3 Sour Patch Kids = 9
Snickers = 4 Twix - 12
125 students
What is included in a probability model?
The Sample Space - the list of all possible outcomes, and the probability of each possible outcome.
A spinner with 12 equal sectors labeled 1-12 is spun. Find P (prime number).
5/12 or 0.42 or 42%
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 Rolled 1 2 3 4 5 6
Frequency 8 6 7 12 10 7
The theoretical probability is higher than the experimental probability. (Theoretical = 17%, Experimental = 14%)
Blake has a regular octahedron (8-sided 3D figure) with faces labeled 1 through 8. Blake rolled his octahedron 10 times and recorded the results, as shown below. If Blake is going to roll the octahedron 25 times, how many times would you expect him to land on a factor of 16?
12-13 times
What is the difference between a uniform probability model and a nonuniform probability model?
In a uniform probability model, each possible outcome has the same probability.
In a nonuniform probability model, each possible outcome does not have the same probability.