Single Step Events
What is the probability of drawing an even number that is greater than or equal to 4 from tiles numbered 1–9?
4/9
Which phrase corresponds to a probability of 1: impossible, unlikely, equally likely, likely, or certain?
Certain
Which is a better example of a Multi-Step Chance Experiment?
Rolling a dice and spinning a spinner
or
Flipping a Coin
Rolling a dice and spinning a spinner
What does it mean to "simulate" a chance process? Give a one-sentence classroom-friendly definition.
Answer Dependent
Solve:
102
100
A deck has cards numbered 1–40. What is the probability of drawing a card divisible by 2? Show how you counted outcomes.
20/40 or 1/2
Describe an event that is "unlikely but possible" and give its probability.
Landing a Coin on heads 5 times in a row.
Rolling a 6 on a dice 3 or more times in a row.
Hitting the same color on a spinner 5 times in a row
etc.
If you flip two coins, what is the probability that both coins will land on heads?
1/4
— Which of these simulates a 1/3 probability for "win" each trial: (A) roll a standard die and count 1–2 as win, or (B) roll a die and count 1 as win? Explain which is correct.
(A) roll a standard die and count 1–2 as win
Solve:
3/4 x 4/6 =
12/24 or 1/2
A spinner has 8 equal sections labeled A–H. Sections A–D are blue (4 sections). What is the probability of landing on a blue section on one spin?
4/8 or 1/2
Explain why "a 7 is rolled on a standard 6-sided number cube" is impossible. Give the probability and a one-sentence explanation.
A six-sided cube does not go to 7. It has a 0% probability
If you spin a 5-section spinner (equal) and roll a 6-sided die, how many outcomes are in the sample space?
30 Poissible Outcomes
Explain why putting 2 white chips and 1 red chip in a bag, drawing with replacement 5 times, simulates a 1/3 chance of drawing red each trial.
Red is 1 out of 3 and you replace the chips after each simulation
Solve :
5x+20=60
x=8
If a standard number cube (1–6) is rolled once, what is the probability of rolling a number greater than 4 or an even number? (Express as a simplified fraction; show counting or sample-space reasoning.)
4/6 or 2/3
Which of the following is "possible but unlikely": (a) flipping a coin and getting heads or (b) rolling a 1 on a standard number cube?
(a) Rolling a 1 on a Normal Dice
How many different action figures are possible if there are 3 sizes (small, medium, large) and 3 characters (main, friend, villain) and 3 Weapons (axe, sword, staff)?
27 Outcomes
You simulate a spinner marked with 3 equal sections (2 labeled "win", 1 labeled "lose") and spin it 60 times. Predict how many wins you expect and explain why using probability language and long-run relative frequency reasoning.
About 40/60 or 2/3 of the time
Solve:
What is 44% of 2500
1100
On a Nine-Sided Spinner, what is the probability of spinning a number that is NOT divisible by 3?
6/9 or 4/6 or 2/3
Explain what each probability word is the rough probability of each?
Impossible - 0%
Unlikely but possible - 1%-50%
Equally Likely and Unlikely - 50%
Likely but not certain - 51%-99%
Certain 100%
Suppose you roll two number cubes. What is the probability of getting:
Exactly one cube showing an even number?
18/36 or 1/2
Jada flips three quarters. What is the probability that all three will land showing the same side?
2/8 or 1/4
-6(x-8)=-48
x=16