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3 years ago

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(100 POINTS & BRAINLIEST!!! HURRY) A game at the fair involves a wheel with seven sectors. Two of the sectors are red, two o

f the sectors are purple, two of the sectors are yellow, and one sector is blue. Landing on the blue sector will give 3 points, landing on a yellow sector will give 1 point, landing on a purple sector will give 0 points, and landing on a red sector will give –1 point.
If you take one spin, what is your expected value?
What changes could you make to values assigned to outcomes to make the game fair?
Prove that the game would be fair using expected values.

2 answers:

Marysya12 [62]3 years ago

7 0

Answer: well i'm too young to answer this lol

1. 7

2. change the value of the colors. each color should have at least 1 or 2 points for each sector.

Step-by-step explanation:

1. two are red (red=1) =2, two are purple (purple=0) =2, two are yellow (yellow=1) =4, one is blue (blue=3) =7

2. dk how to explain this i'm running out of time

aleksklad [387]3 years ago

6 0

Answer:

The game is not fair

Step-by-step explanation:

<u><em>A wheel with seven sectors:</em></u>

Red Sectors = 2 | Probability = 2/7

Purple sectors = 2 | Probability = 2/7

Yellow sectors = 2 | Probability = 2/7

Blue sectors = 1 | Probability = 1/7

Landing on the blue sector will give 3 points, => 3 * 1/7 = 3/7 points

landing on a yellow sector will give 1 point => 1 * 2/7 = 2/7 points

landing on a purple sector will give 0 points => 0 * 2/7 = 0 points

landing on a red sector will give –1 point. => - 1 * 2/7 = -2/7 points

Expected value = 3/7 + 2/7 + 0 - 2/7

= 3/7

<u><em>Expected value = 3/7</em></u>

3/7 < 1/2

=> <u><em>game is not fair</em></u>

<em><u>If expected value = 3.5/7 = 1/2 then game will be fair</u></em>

<em><u>hence if we make 3.5 points for Landing on the blue sector</u></em>

<em><u>then game will be fair.</u></em>

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<h2>Hello!</h2>

The answers are:

First image:

The answer is the second option, the angles is $53\°$

Second image:

The answer is the third option:

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Third image:

The length of the adjacent leg is the first option:

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Fourth image:

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<h2>Why?</h2>

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First image:

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Then, calculating we have:

$\alpha =Arctan(\frac{y}{x})\\\\\alpha =Arctan(\frac{8}{6})\\\\\alpha =Arctan(1.33)\\\\\alpha =53\°$

Hence, the answer is the second option, the angles is $53\°$

Second image:

We are given a right triangle that has the following lengths:

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Then calculating the sin ratio, we have:

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Third Image:

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