three people are using a random number generator to pick who goes first in their game. the generator gives a…

three people are using a random number generator to pick who goes first in their game. the generator gives a random decimal number, in hundredths, between and including 0 and 10. determine a fair plan for choosing who goes first and explain your reasoning. type the correct answer in the box.

three people are using a random number generator to pick who goes first in their game. the generator gives a random decimal number, in hundredths, between and including 0 and 10. determine a fair plan for choosing who goes first and explain your reasoning. type the correct answer in the box.

Answer

Explanation:

Step1: Divide the range into 3 equal - sized intervals

The range is from 0 to 10. Divide it into three intervals: [0, 3.33], (3.33, 6.67], (6.67, 10].

Step2: Assign intervals to players

Assign the first interval [0, 3.33] to the first player, the second interval (3.33, 6.67] to the second player, and the third interval (6.67, 10] to the third player. When the random number generator gives a number, the player whose interval the number falls into goes first. This is fair because each interval has a length of approximately 3.33, and since the number generator is random, each player has an equal probability ($\frac{1}{3}$) of getting a number in their assigned interval.

Answer:

Divide the range 0 - 10 into three intervals: [0, 3.33], (3.33, 6.67], (6.67, 10]. Assign each interval to one of the three players. The player whose interval the randomly - generated number falls into goes first.