Probability Unit 6

Vocabulary

100

Define Probability

The chance of something happening

200

Define Experimental Probability

The probability of getting something based on an experiment.

300

Define theoretical probability 

The way a experiment should pan out.

400

What is a tree diagram?

A graph that shows how many different combinations you can get with your given data.

500

What is the fundamental counting principal

The number of outcomes possible.

True or false

100

Sai is gambling in Las Vegas. He claims that he will roll a 4 every 4 times. It lands on 4 every 6 times. Sai whines and claims that the dice he got was biased. True? or False?

False

200

Devon wants to buy ice cream. He can chose from chocolate, Strawberry, or Vanilla. He can also chose three different toppings chocolate chips, KitKat, or Oreo. They can also chose from two kinds of syrups chocolate, and caramel. Devon thinks that there are 18 different possible combinations. True or False?

True

300

Leo and Aerin are arguing over where on the 0 to 1 scale rolling six on a die would be. Leo thinks its at 0.5 while Aerin thinks its lower. Is Leo's claim True or False.  

False

400

Jeffrey is surveying the first 20 people to enter his J's Asian Café. He asks them which of the 4 items they will order, Raman , Kimchi, Sushi or Wasabi. 10 people say that they will order Raman. Jeffrey says that its experimental. True or False?

True

500

Jeffrey is begging for money. He asks 20 people for money. Every 5th person is rewarding Jeffrey with cents. Jeffrey concludes that only 1/5 of the world is giving. True or False?

False, it is not an accurate representation

Practice Problems

100

If you roll a die 30 times. The die lands on 1-3 17 times. Devon Yau says that it lands on a number 1-3 less than 55% of the time. True or False?

False it is %56.66.

200

Lalit has a wheel with 20 different kinds of Lollipops. What is the chance that he spins Blue Raspberry?

[In Percentage]

What is 5%

300

Paul was mining for coal. If Paul finds 1 piece of coal for every 10 that Rishabh finds. What is the probability that Paul finds the next one.

10%

400

LeBron James shoots from 75% from behind the three point line. If he takes 15 three pointers next game. How many will he probably make?

Round to the nearest whole number.

11 three pointers

500

Varun, Leo, Rishabh, and Paul were playing basketball. Varun made 27/35 shots, Leo made 19/24 Rishabh made 11/16, and Paul made 2/27. Who made the highest percentage.

Leo because he made a shot every 1.26 attempts while Varun made a shot every 1.29 attempts, Rishabh every 1.45 shots and Paul every 13.5 shots.

Theoretical?Experimental?

100

Lalit surveyed the first 20 people to enter Starbucks about what they will order a latte [Lalits favorite], black coffee, hot chocolate, or tea. Lalit thinks 5 people will buy each kind.

Does this represent theoretical or experimental? 

What is theoretical

200

Natalie did not study for her test, and is guessing on all of the problems. There are 4 choices per problem on a 20 question quiz. She believes that she will get 5 right.

Theoretical or Experimental?

Theoretical

300

Sai is speaking in front of a large crowd to vote for him as the dictator of North Korea. He has 10 people listening to his speech, 0 of them end up voting for him.. Is this experimental or theoretical.

Experimental

400

Nishika thinks that she will roll every number on a standard die in the first 6 attempts. Theoretical or experimental

Theoritcal

500

Jeffrey gets I.S.S  every 3 days. Varun thinks that Jeffrey will get ISS again in 3 days. Is this experimental or theoretical?

What is experimental

Random

100

Anu is buying pencils at Staples. She can choose from Dixon, Chattahoochee pencil co. or The Smencil Company. She can chose from red, green, or yellow. You can also chose from three different stores. How many possible combinations are there.

27 possible outcomes

200

How many cards are in a deck. What percent are face cards.

52 cards and about 23% are face cards.

300

Mrs. Javia rolled a die to decide whether to assign us a quiz or a test. 1-3 quiz and 4-6 test. What is the probability that Mrs. Javia assigns a quiz?

50%

400

Congratulations! Get this correct and get 800 points!

A spinner is divided into 57 colored sections. If you spin it 687 times how many times will you land on red if its twice the size of the other sections? (There are 57 different colors on the spinner)

So you divide 687 by 2/58 or 1/29 and get

23.6896552

500

Varun and Rishabh where betting on the outcome of the Super bowl. Rishabh predicted that the Patriots would win because they had beaten the Eagles more times in the past 5 games. Varun predicted that the Eagles would win because he knew that there was a 50-50 chance and he hated the patriots. Who predicted based on experimental and who predicted based on theoretical.

Varun: Theoretical

Rishabh: Experimental