Theoretical
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%
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%
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%
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%)
How likely is it that a die is tossed and lands on 3?
Unlikely
What is the probability of rolling two odd numbers in a row with a standard die?
1/4, or 0.25, or 25%
Nya recorded the types of birds that visit her 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%
Taus and Mathilda are candidates for class president of the 7th grade. Sara, Naurez, and Elisa are candidates for vice president. How many winning combinations are possible?
6
How likely is it that a die is tossed and it lands on 8?
Impossible
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%
Nora rolls two dice 300 times. She rolls a sum of 5 a total of 20 times. How does her experimental probability compare to the theoretical probability of rolling a 5?
The experimental probability is 1/15, but the theoretical probability is 1/9. The experimental probability was lower than the theoretical probability.
Mrs. Debby 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 is the gray suit with a pink blouse?
1 out of 12
Define "complementary event."
The probabilities of all possible events whose total is 1.
How likely is it that a die is tossed and lands on any number 1-6?
Certain
Antonia 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 vowel?
2/25 or 0.08, or 8%
Maxi 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 Maxi 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)
What is the probability of rolling three 4's in a row on a die?
1/216
Define "sample space."
A model representing all possible outcomes of an event.
How likely is it that a die lands on an odd number and a spade is pulled from a deck of cards?
unlikely