MATHEMATICS

How many kids signed up for “Little Tykes”   under the age of seven?

(1 pt)

?

(Select a multiple of 10, of at least 20)

 

How many kids signed up for “Big Kids”   between 8 and 12?

(1 pt)

?

(Select a multiple of 10, of at least 20)

 

How many kids signed up for “Teens”   between 13 and 18?

(1 pt)

?

(Select a multiple of 10, of at least 20)

 

How many different ways can you create   teams of ten for the “Little Tykes” grade level?

(2 pts)

?

Show your work: (2 pts)

 

If age levels did not matter, how many   different ways can you create teams of ten?

(2 pts)

?

Show your work:  (2 pts)

Part B: Probabilities and Odds

4. For this set of exercises, you will need one standard six sided dice. If you don’t have one, you can use virtual dice: https://www.random.org/dice/,  (40 points total)

a. First, let’s differentiate between “odds” and “probability”.

 

How   are odds and probability different?

(2   pts)

?

 

What   is the “odds of in favor” ratio?

(3   pts)

?

 

What   is the “probability of an event” ratio?
  (3 pts)

?

 

What   are the odds of rolling a three? (Simplify all fraction answers.)
  (2 pts)

?

 

What   is the theoretical probability of rolling a three? (Simplify all fraction   answers.)
  (2 pts)

?

b. Please reflect on the previous question’s answer outcome. First, convert the fraction to a percent.

 

Percent Probability

 

Theoretical   Probability   (Rounded to the nearest whole percent.)

(2 pts)

?

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Next, given the “Likelihood Scale” table above, what term best describes your answer?

 

Likelihood Scale

 

Term

(2 pts)

?

a. What if someone challenged you to NEVER roll a 3? If you were to roll the dice 18 times, what would be the empirical probability of never getting a three?

 

Percent Probability

 

Solution:

(Rounded to the nearest whole percent.)

(2 pts)

?

Show your work: (2 pts)

b. After 18 rolls, what would be the empirical probability of getting a three on at least one of those rolls? Also, list the “Likelihood Scale” term from the table above.

 

Percent Probability

 

Empirical   Probability 

(Rounded to the nearest whole percent.)

(2 pts)

?

 

Likelihood Scale Term

(2 pts)

?

c. What if someone challenged you to NEVER roll a 3? If you were to roll the dice 18 times, what would be the empirical probability of never getting a three?

 

Percent Probability

 

Solution:

(Rounded to the nearest whole percent.)

(2 pts)

?

Show your work:  (2 pts)

 

What   do you notice about the answers for parts c. and d. above?

(2 pts)

?

d. Roll the dice 18 times and keep track of what is rolled in the table below. (2 points)

 

Roll   #

Dice

Roll   #

Dice

Roll   #

Dice

 

Roll 1

?

Roll 7

?

Roll 13

?

 

Roll 2

?

Roll 8

?

Roll 14

?

 

Roll 3

?

Roll 9

?

Roll 15

?

 

Roll 4

?

Roll 10

?

Roll 16

?

 

Roll 5

?

Roll 11

?

Roll 17

?

 

Roll 6

?

Roll 12

?

Roll 18

?

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