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 bu 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
OA D
Source: GMAT Prep
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
A game is played with a six sided, regularly numbered fair
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
-
deloitte247
- Legendary Member
- Posts: 2214
- Joined: Fri Mar 02, 2018 2:22 pm
- Followed by:5 members
Consider the following scenarios;
1* If the number rolled multiplied by 0.1 is greater than or equal to the players current number, The players current number is increased by 0.1
2* If the number rolled * 0.1 is less than the player's current number and it's odd, the players current number is decreased by 0.1.
3* If the number rolled multiplied by 0.1 is less than the player's current number and it's even, the player's number is unaffected.
Remember that a dice has 6 possibilities.
After a person has 0.6 the only value that can increase it is to throw 6 this will increase it to 7 but will not increase any further because there is no 7 on the dice, so 0.8 is out of it.
Hence, we have 0.7 as the maximum value and it is possible to obtain a final value of 0.5 and 0.1.
Option D the correct answer.
1* If the number rolled multiplied by 0.1 is greater than or equal to the players current number, The players current number is increased by 0.1
2* If the number rolled * 0.1 is less than the player's current number and it's odd, the players current number is decreased by 0.1.
3* If the number rolled multiplied by 0.1 is less than the player's current number and it's even, the player's number is unaffected.
Remember that a dice has 6 possibilities.
After a person has 0.6 the only value that can increase it is to throw 6 this will increase it to 7 but will not increase any further because there is no 7 on the dice, so 0.8 is out of it.
Hence, we have 0.7 as the maximum value and it is possible to obtain a final value of 0.5 and 0.1.
Option D the correct answer.
