Theoretical Probability
A 6-sided die is rolled. What is the probability that the die lands on a 3 (as a fraction)?
1/6
The store sold 4 Taki's, 12 Flaming Hot Cheeto's, and 4 Turbo's. Predict how many of the next 100 sales will be Taki's.
20 of the next 100 sales will be Taki's.
Zachary shot the basketball 100 times, and made 78 shots. Based on this data, what is the relative frequency of Zachary's missed shots?
22 out of 100 shots were missed: 22/100 (11/50), 0.22, or 22%.
Braelyn is drawing a name from a basket to see who wins a monthly prize from a local store. She was drawn last month, so she no longer has a ticket in the basket. Is it impossible, unlikely, neither likely or unlikely, likely, or certain that she will win?
0 = impossible.
A 6 sided die is rolled. What is the probability of a 2, 3, or 4 (as a fraction)?
3/6 (1/2)
In the gamer club, 8 kids played Fortnite, 2 kids played NFL Madden, and 6 kids played Super Smash Bro's. Predict how many of the next 20 kids in gamer club will be playing Fortnite.
10 of the next 20 kids will play Fortnite.
Kaylie rolled a pair of dice 10 times. 6 of those rolls had an even sum. What is the relative frequency of having an odd sum in Kaylie's dice rolls?
4 out of 10 rolls were odd sums: 4/10 (2/5), 0.4, 40%.
John (aka Hazel) rigged a drawing so all of the entries have her name on it. Is the probability of John winning impossible, unlikely, neither likely or unlikely, likely, or certain?
100% = certain.
You pick 1 card at random in a standard deck of 52 cards. What is the probability that the card is a King, Queen, Jack, or Ace (as a fraction)?
16/52 (4/13)
The store sold 18 Xbox One's, 22 PS5's, and 4 Nintendo Switches. Predict how many of the next 100 sales will be a PS5.
50 of the next 100 sales will be a PS5.
Jose played a game at a vending machine to try and grab stuffed animals. He played 50 times, and won a toy only 12 times. What is the relative frequency of Jose winning a toy?
12 out of 50: 12/50 (6/25), 0.24, or 24%.
Neveah is going to flip a coin to decide who goes first in a game - she will go first if the coin lands on tails. Is the probability of Neveah going first impossible, unlikely, neither likely or unlikely, likely, or certain?
1/2 = 0.5 = neither likely or unlikely.
A spinner has 13 sections, labeled 1 through 13. What is the probability that the spinner lands on an odd number (as a fraction)?
7/13
At a shoe store, 10 customers were wearing Nike, 3 Addidas, and 2 Reebok. Predict how many of the next 42 customers will be wearing Addidas or Reebok.
14 of the next 42 customers will be wearing Addidas or Reebok.
In a bag of 1000 marbles, Mylah pulled out 200. Of her 200 marbles, 34 were green, 66 were yellow, and 100 were purple. Using her data, what is the relative frequency of pulling a green marble?
34 green marbles out of 200 draws: 34/200 (17/100), 0.17, or 17%
Essynce is rolling a die to try and run away from a monster in a board game. She has a special card that allows her to escape with a 3, 4, 5, or 6. Is the probability of Essynce escaping impossible, unlikely, neither likely or unlikely, likely, or certain?
4/6 (2/3) = 0.67 = likely.
Ms. Tavaghoee's homeroom class has 43 students. 20 are boys and 23 are girls. Only 12 students in the class wear glasses. If Ms. Tavaghoee randomly chose a student, what is the probability that the student wears glasses (as a fraction)?
12/43
If 2 coins are flipped 16 times, what is the best prediction of the number of times the coins will land on Tails-Heads?
4 out of the next 16 coin flips will be Tails-Heads.
Zion was eating skittles while waiting for a movie to start. He pulled out 24 green skittles, 12 red skittles, 9 yellow skittles, and 5 orange skittles. What is the relative frequency of green skittles?
24 out of 50: 24/50 (12/25), 0.48, or 48%.
Conner is playing a game of chance at a fair. He will win if he spins a spinner and lands on a winning space. Two of 23 slices of the spinner are winning slices. Is the probability of Conner winning impossible, unlikely, neither likely or unlikely, likely, or certain?
2/23 = 0.09 = unlikely.