Question

A new government lottery has been announced. Each person who buys a ticket submits an integer between 0 and 100. The winner is the person whose submission is closest to four minus fifths of the average of all submissions. If ties​ occur, the price will be shared. If Chloe expects other players to select numbers​ randomly, what number should she​ choose? Chloe should choose the number nothing. ​(Enter your response rounded to the nearest whole​ number.)

Answer 1

Answer:

She (Chloe) should therefore pick the integer closest to four-fifths of​ 50, which would be 40

Step-by-step explanation:

Given that :

Each person who buys a ticket submits an integer between 0 and 100

The winner is the person whose submission is closest to four minus fifths of the average of all submissions

i.e the winner is the person whose submission is closest to 4 - 5 th of the average submission of all submissions.

The average of the integer between 0 and 100 is = 50

So;

4/5 of 50 = (4/5) × 50

⇒ 0.8  × 50

= 40

Thus ; She (Chloe) should therefore pick the integer closest to four-fifths of​ 50, which would be 40

However;

If you are playing and you think everyone else is like​ Chloe, then you should bid four-fifth of 40​, which is 32

i.e

4/5 of 40 = (4/5) × 40

⇒ 0.8  × 40

= 32

Answer 2

The number that chloe should choose is; 40

We are told that;

Each person who buys a ticket, submits an integer between 0 and 100

Now, the winner is the person whose submission is closest to four minus fifths of the average of all submissions

i.e the winner is the person whose submission is closest to ⁴/₅ of the average submission of all submissions.

Now, average of all integers between 0 and 100 is 50.5. Thus;

Thus, ⁴/₅ of the average gives;

⁴/₅ × 50.5 = 40.4 ≈ 40

 

Now, chloe expects other players to select numbers randomly and we can conclude that she should pick the number 40.

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