1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alika [10]
3 years ago
5

Consider the following scenario. Bob is playing a board game where he blindly picks a tile from a container and moves some space

s. The container has 5 red tiles, 11 green tiles, and 4 blue tiles. If he draws a red tile, he moves forward 12 spaces. If he draws a green tile, he stays put. If he draws a blue tile, he moves backward 15 spaces. Use mathematical calculations to show whether or not the game is fair. That is, show whether Bob will hover around the same space (fair) or, over time, move away from the starting point (not fair). Show all of your calculations for full credit.
Mathematics
2 answers:
Minchanka [31]3 years ago
8 0

Answer:

Yes, the game is fair.

Step-by-step explanation:

In order to check that the game is fair we will see that the total expectation is zero.

i.e. Bob will hover around the same place.

There are total 20 tiles in a container.

( Since 5 red tile+11 green tile + 4 blue tile=20 tiles)

The probability of choosing a red tile is:

    Number of red tile/total number of tiles

     =  5/20

Also, the probability of choosing a green tile is:

   Number of green tile/Total number of tiles

 = 11/20

Also, the probability of choosing a blue tile is:

   Number of blue tiles/ Total number of tiles

     =  4/20

Let E denote the expectation of an event.

Hence,

E(Red\ tile)=\dfrac{5}{20}\times (+12)

Since when a red tile is drawn Bob moves 12 spaces forward.

E( Red\ tile)=\dfrac{60}{20}

Similarly

E(Green\ tile)=\dfrac{11}{20}\times (0)

Since when a green tile is drawn Bob remains at the same place.

E( Green\ tile)=0

and

E(Blue\ tile)=\dfrac{4}{20}\times (-15)

Since when a blue tile is drawn Bob moves 15 spaces backward

E(Blue\ tile)=\dfrac{-60}{20}

Hence, total expectation is:

=E(Red\ tile)+E(Green\ tile)+E(Blue\ tile)\\\\\\=\dfrac{60}{20}+0-\dfrac{60}{20}\\\\=0

       This means that he will around the same place.

             Hence, the game is fair.

pogonyaev3 years ago
5 0
The game is fair. 

Pls. see my attachment. 

Download pdf
You might be interested in
Identify terms, coefficients, factors, and the constant: 5(2x + 4) + 3x
KATRIN_1 [288]

Answer:

Terms:

<em>5, 2x, 4, 3x</em>

Coefficients:

<em>2 in 2x, and 3 in 3x</em>

Constants:

<em>5 and 4</em>

Factors:

<em>5, 2x, and 4</em>

Step-by-step explanation:

For terms, all of them are terms because they are all in the expression.

For coefficients, coefficients are ones that have a variable (think of it as a <em>copilot</em> kind of thing).

For factors, factors are terms that are multiplied together together to get a <em>product</em> (the answer).

For constants, these are terms that stand alone, by themselves. They are not attached to variables.

The answer is <em>13x + 20, </em>too, just in case you needed that.

Have a great day and hope this helps!

5 0
3 years ago
Read 2 more answers
Tom's toy box is shown below. The toy box is shaped like a rectangular prism: It has 5 wooden faces and is open on the top.
bazaltina [42]

Answer:

O C 900 square inches

5 0
3 years ago
Symbolize and Solve Equations
NNADVOKAT [17]

x = 5.43 + .83m

5.43 + .83 * 5 = 5.43 + 4.15 = $9.58

5 0
2 years ago
What kind of number is -2
makvit [3.9K]

Is a number negative



5 0
3 years ago
I WILL GIVE BRAINLIEST!!!
dlinn [17]

Answer:

p=2x^3+3x

Step-by-step explanation:

no explanation math papa

7 0
3 years ago
Other questions:
  • If someone has a networth of 7.92×10^10 .Suppose that this individual now decides to give one-eighth of a percent of his new net
    15·1 answer
  • Write a rule for the nth term of the sequence. Then find a20<br> 37, 29, 21, 13,...
    13·1 answer
  • Which of the following expressions is equivalent to 18m - 12?
    10·2 answers
  • Evaluate the expression for the given values. (12x+5y)/3z, where x = 12, y = 6, and z = 4. (write answer in decimal form)
    12·1 answer
  • Converting 4.9 kilograms would give you 11 of which US customary system unit? A. Pounds B. Stones C. Teaspoons D. Ounces Mark fo
    7·2 answers
  • What is one plus one
    10·2 answers
  • write a word phrase for the algebraic expression 3x - 7. the difference of three times a number x and seven the difference of se
    12·1 answer
  • Answer this Please For Top Brainly
    11·1 answer
  • Milk is sold 1/2 pint bottles in 1 pint bottles and 2 pint bottles
    10·1 answer
  • A zoo contains lions and tigers in the ratio 2:3. How many cats does the zoo contain in total if there are actually 12 tigers? S
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!