## A game is played with a six-sided, regularly numbered fair die. A player starts with a number equal to $$0.1n,$$ where

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### A game is played with a six-sided, regularly numbered fair die. A player starts with a number equal to $$0.1n,$$ where

by M7MBA » Thu Oct 07, 2021 3:09 am

00:00

A

B

C

D

E

## Global Stats

A game is played with a six-sided, regularly numbered fair die. A player starts with a number equal to $$0.1n,$$ where $$n$$ is an integer between $$1$$ and $$6$$ inclusive. On each of $$20$$ subsequent rolls, if the number rolled times $$0.1$$ is greater than or equal to the players current number, the players current number is incremented by $$0.1;$$ if the number rolled times $$0.1$$ is less than the player's current number and is odd, the players number is decremented by $$0.1;$$ if the number rolled times $$0.1$$ is less than the player's current number and is even, the players number is unaffected. If $$55\%$$ of the die rolls in a particular game are even, which of the following is a possible final value of that game

i. $$0.8$$
ii. $$0.5$$
iii. $$0.1$$

A. i only
B. i and ii only
C. i and iii only
D. ii and iii only
E. i, ii and iii