Theoretical
Maria is rolling a standard 6 sided number cube. What is the probability of Maria rolling a composite number?
1/3
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)
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."
What is expected to happen.
How likely is it that a coin is flipped and lands on tails?
As equally likely as not.
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, 0.667, or 66.7%
John and Jack play Rock Paper Scissors for twenty rounds. Jack lands of rock 5 times, paper 3 times and scissors 12 times. How does the experimental probability of Jack choosing scissors on his next turn compare with the theoretical probability?
The experimental probability is 3/5, which is greater than the theoretical probability of 1/3.
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 based on what actually occurs.
How likely is it that a number cube is tossed and lands on 3?
Unlikely
A card is chosen from a standard deck of playing cards. What is the probability of drawing a black odd numbered card?
2/13 or 0.154, or 15.4%
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%
Amiya and Keyshawn are candidates for class president of the 7th grade. Ajaye, Chishon, and Laura are candidates for vice president. How many winning combinations are possible?
6
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.
How likely is it that a standard number cube is tossed and it lands on 8?
Impossible
In the school talent show, there are 6 students singing, 7 students dancing, and 3 students juggling. What is the probability that the first performer in the talent show will be singing?
3/8, or 0.375, or 37.5%
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 chickadee? Woodpecker = 3 Chickadee = 5 Cardinal = 1 Sparrow = 13 Blue Jay = 3
1/5, or 0.20, 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 is the gray suit with a pink blouse?
1 out of 12
Define "frequency".
The number of times an event occurs.
How likely is it that a standard number cube is tossed and lands on any number 1-6?
Certain
Cards with the letters that form the word DeSana are placed face in a bag. What is the probability of drawing a card that is not a capital letter?
2/3 or 0.667, or 66.7%
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%)
You mom takes you to the ice cream store and says you can choose one type of ice cream and one topping. If they have chocolate, vanilla, and strawberry ice cream and the toppings are sprinkle, nuts, gummy bears, caramel syrup, and brownie bites, how many different combinations do you have to choose from?
15
Define "relative frequency."
The number of times that the event occurs during experimental trials, divided by the total number of trials conducted.
How likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely