Vocabulary
Another word for the result of something occurring
What is outcome?
A tree diagram can go in 2 directions:
What is horizontal or vertical?
The probability of rolling a 5 on a dice:
What is 1/6 or 16.6667%?
The possible outcomes of a compound event can be represented using these 3 methods:
What is tree diagram, table, organized list?
favorable outcomes / possible outcomes
when all outcomes are equally likely
What is theoretical probability?
Teresa’s Totes has green, blue, pink, or red tote bags. They can have short or long straps. How many different tote bags can Teresa make?
Draw a tree diagram to find all the possible outcomes. Remember to label each column and the outcomes.
What is 8 total outcomes?
The probability of rolling heads in a coin toss 2 times in a row:
What is 1/4?
Tiffany has a 30% chance of winning a game. She uses random numbers to simulate a series of 7 games In her simulation, the numbers 0-2 represent a win, and the numbers 3-9 represent a loss. Select all the trials whose results show 3 wins in 7 games played.
8531905 7269108 7042351
4963184 0689271 9094562
What is 7269108, 7042351, 0689271?
A type of probability determined by the results of an actual experiment.
What is experimental probability?
Pete’s Pizza has small, medium, or large pies. Topping choices are cheese or pepperoni. How many possible combinations are there for one pizza? Draw a tree diagram.
Diagrams will vary.
P(rain) + P(no rain) = ?
What is 1?
A boy wins a carnival game 50% of the time. He uses a spinner with equal-sized sections labeled 0 through 9 to simulate trials of the game. In the simulation, the numbers 0 through 4 represent winning and the numbers 5 through 9 represent losing. Based on the simulations below that represent the boy playing the game 3 times, what is the probability he wins all 3 times?
412 750 236 808 904
237 424 648 121 208
What is 3/10 or 30%?
A compound event consists of ______ events.
What is two or more?
Sally’s Shop sells 3 shirts and 2 different pairs of pants. They also have high heel shoes or sandals. How many different outfits can you make with a shirt, a pair of pants, and a pair of shoes?
Draw a tree diagram to find all the possible outcomes. Remember to label each column and the outcomes.
What is 12 different outfits?
Pete’s Pizza has small, medium, or large pies. Topping choices are cheese or pepperoni.
Find P(small, cheese).
What is 1/6 or 16.6667%?
The probability that a certain bacteria colony thrives in laboratory conditions is 70%. In a simulation conducted using a random-number generator, the numbers 0 through 6 represent bacteria colonies that thrive and the numbers 7 through 9 represent bacteria colonies that do not thrive in the laboratory. There are 4 total bacteria colonies. The results of 6 trials are recorded below. Based on the simulated results, what is the probability that exactly half of the colonies will thrive?
4285 6903 3829 7871 2868 5137
What is 1/3 or 33.3%?
A model of a real-world situation that can be used to find probabilities.
What is a simulation?
Ralph needs to select courses for two hours of his school day. Possible courses he can take are English, Science, and Mathematics. Each course is offered during the first and second hours of a school day.
(He cannot take the same class back to back)
What are the different ways Ralph’s schedule could look? Create a tree diagram to find all the possible outcomes.
What are (E1, S2), (S1, E2), (M1, E2), (M1, S2), (E1, M2), and (S1, M2)?
Grandma’s Gourmet Goodies makes vanilla or chocolate cakes. The frosting can be strawberry or vanilla buttercream.
Find P(Vanilla, Strawberry Buttercream)
What is 1/4 or 25%?
A spinner has 4 equal sections with colors red, green, yellow and blue.
What is the theoretical probability that you spin and land on blue?
Jen spins the spinner 20 times and lands on blue 3 times. What is the experimental probability of Jen landing on blue?
What are the differences between the experimental and theoretical probabilities? Why is there a difference?
1) What is 1/4 or 25%?
2) What is 3/20 or 15%?
3) 1/4 = 5/20 > 3/20 so the theoretical probability is greater than the experimental probability - sample answer