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.)

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

there are no short passages to look at