Define "probability."
The likelihood or odds that an event will occur
What are the components to a probability model?
Listing all the outcomes in a sample space, and writing the probability of each outcome
What 5 words do we use to "classify" our predictions?
impossible, unlikely, even, likely, certain
Make an ORGANIZED LIST to determine the number of different ways three books, one short, one medium, and one long can be arranged on a shelf.
SML, SLM, MSL, MLS, LSM, LMS --> 6 different ways
A spinner has ten equal sections labeled 1-10. How many times would you expect the spinner to land on an even number if spun 150 times?
What is a fair probability scenario?
A scenario where every outcome has an equal chance at occurring
How many different outcomes are there if you flip 4 standard coins?
16 different outcomes
See whiteboard. 18 total outcomes
The Hawthorne Mustangs have won 4 games and lost 6 games this season so far. Based on these results, which is the best prediction of the number of games they will win of their 32 game season?
What do you call the type of event where more than one event is occuring? (Ex: spinning two dice)
Compound event or compound probability
How many different outcomes are there if you roll a 12 sided die and flip a coin?
24
There are 4 red marbles, 3 green marbles, and 1 yellow marble in a box. One marble is taken out of the box. What is the probability that the marble is red or yellow?
What is 5/8, 0.625 or 62.5%?
Jared has a white cube and a red cube. The surfaces of each cube are numbered with a unique number from 1 to 6. If Jared tosses the cubes, how many total outcomes are there? What is the probability he will get 4 on the white cube and an odd number on the red cube?
36 total outcomes. What is 1/12 or 3/36
A basketball player made 12 free throws in his last 36 attempts. How manyu free throws would the basketball player be expected to make in 78 attempts?
What is 26
What is the difference between experimental and theoretical probability?
Find the total possible outfits that can be made with 2 pants, 5 shirts, 2 jackets, and 3 ties.
What is 60
At a middle school, students have the option to pick orchestra, band, or choir as a music class and Spanish, French, Mandarin, or German as a language. Make a tree diagram and then determine the probability of a student picking Band and Spanish.
See whiteboard. Probability is 1/12
There are 20 students in Ms. Williams class. The theoretical probability of choosing a female student to answer a question is 40%. How many girls are in the class?
8 girls
What is the name for the set of all possible outcomes?
Sample space
How many different four-digit numbers can be made using only the digits 1, 2, and 3? (Assume a digit may be repeated)
What is 81
A standard die is rolled 330 times. It lands on the number 2 52 times. What is the theoretical probability of landing on a 2? What is the experimental probability? Which is greater?
Experimental - 52/330
The theoretical is greater!
A jar contains 6 red marbles and 10 blue marbles, all of equal size. If Dominic were to randomly select 1 marble and flip one coin, what would be the probability of selecting a red marble and landing on a heads. HINT: find the probability of the first scenario and second and then multiply
What is 3/16 or 6/32
(6/16 * 1/2)
You have a spinner with four equal sections that are blue, red, green, and yellow. If you spin it 300 times, about how many times should you NOT land on yellow?
225