Theoretical Probability
Experimental Probability
Making predictions
Odds
Combinations and Permutations
100

What is the theoretical probability of rolling an even number on a six sided number cube?

1/2 or 50%

100

Red       7
Yellow   12
Orange  8
White    13

What is the experimental probability the you choose a card that is orange?

1/5 or 20%

100

The baseball team won their first 4 out of 5 games.  Predict how many games they will win this season if they are scheduled to play 162 games.

129.6 games  (about 130 games)

100

What are the odds in favor of rolling a 1 on a number cube?

1:5

100

How many different ways can the letters in the work ASSIGNMENT be arranged?  
(even if it doesn't make a word)


Is this a combination or permutation?

Permutation: Order maters

3,628,800 ways

200

Find the theoretical probability of flipping two coins and having one land heads up and the other land heads down.

1/4 or 25%

200

Red       7
Yellow   12
Orange  8
White    13

What is the experimental probability the you choose a card that is NOT white?

27/40 or 67.5% (68%)

200

There are 30 people in your class and three people are absent to day, predict how many are absent in the whole school with 900 students.

90 students

200

A game has 12 cards and two say WIN.  What are the odds in favor of drawing a card that says WIN?

1:5

200

A science fair awards prizes to first and second place .  If there are 20 students entered into the science fair, how many ways can the winners be selected?

Is this a combination or permutation?

Permutation: Order matters

380 ways

300

A jar holds 20 marbles (8 red, 6 blue, 2 yellow, 1 green, and 3 purple).  What is the theoretical probability you will pick a green or purple marble?

1/5 or 20%

300

Yellow   17
Orange  2
White    13
Green    40
Blue      28

What is the experimental probability the you choose a card that is purple?

0 or 0%

300

If the first 7 out of 12 people get soup as their first course at a restaurant, predict how many people will get soup if 60 people come in for lunch.

35 people

300

The probability of a thunderstorm is 80%.  What are the odds that there will be a thunderstorm?

4:1

300

A code consists of 3 letters.  None of the letters can be repeated.  How many different codes are there?

15,600 codes

400

Find the theoretical probability of randomly choosing a vowel from the phrase SUMMER VACATION.

3/7 or 43%

400

Yellow   17
Orange  12
Purple    3
Green    20
Blue       8

What is the experimental probability the you choose a card that is a primary color?

5/12 or 42%

400

16 people in a class of 28 are in an after school activity.  If this class represents the school population of 840 students, predict how many are involved in an after school activity.

480 students.

400

The odds against a spinners landing on yellow is 3:1.  What is the probability of not landing on yellow?

75%

400

Lily went to an animal shelter to choose 2 kittens as pets.  The shelter has 38 kittens to choose from.  How many ways did Lily have to choose her two kittens?  

Is this a combination or permutation?

Combination: Order doesn't matter

703 ways

500

What is the theoretical probability of randomly choosing the letter B from the letters in the work PROBABILITY?

2/11 or 18%

500

Number Cube     Frequency
1                       7
2                       9
3                       15
4                       11
5                       13
6                       5

What is the experimental probability that you will roll a number greater than 4?

3/10 or 30%

500

An inspector checks 150 bike helmets and found 21 were defective.  If the inspector checks 500 helmets, predict the number of those that would most likely be defective.

70 helmets

500

The probability of drawing a blue marble out of the jar is 30%.  What are the odds against drawing a blue marble.  

7:3

500

A 5-letter code is used to access a program.  How many codes are possible if the same letter can not be used twice? 

Is this a combination or permutation?

Permutation: Order matters

7,893,600 ways

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