1564145
Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Ask your questions and receive precise answers from experienced professionals across different disciplines. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game?
$8.75
$12.50
$80
$10.25​

You Spin Each Spinner Once You Get 50 If You Spin A 2 And A Vowel You Get 25 If You Spin A 2 And A Consonant You Get 5 If You Spin A 1 And A Vowel Everything El class=

Sagot :

The expected value of the game is $8.75.

----------------------

  • The expected value is the sum of each outcome multiplied by it's probability.
  • A probability is the number of desired outcomes divided by the number of total outcomes.

  • The probability of spinning a 2 and a vowel is: [tex]\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}[/tex].
  • Thus, [tex]\frac{2}{32}[/tex] probability of getting $50.

  • The probability of spinning 2 and a consonant is: [tex]\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}[/tex]
  • Thus, [tex]\frac{6}{32}[/tex] probability of getting $25.

  • The probability of spinning 1 and a vowel is: [tex]\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}[/tex].
  • Thus, [tex]\frac{6}{32}[/tex] probability of getting $5.

  • 32 - (6 + 6 + 2) = 18, thus, [tex]\frac{18}{32}[/tex] probability of earning $0.

The expected value is:

[tex]E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)[/tex]

[tex]E = \frac{100 + 150 + 30}{32}[/tex]

[tex]E = \frac{280}{32}[/tex]

[tex]E = 8.75[/tex]

The expected value of this game is of $8.75.

A similar problem is given at https://brainly.com/question/24961584

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.