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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
A game is played with a six sided, regularly numbered fair die. A play
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16 Apr 2022, 04:22
16 Apr 2022, 04:22
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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 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
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
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: A game is played with a six sided, regularly numbered fair die. A play
[#permalink]
18 Apr 2022, 08:36
18 Apr 2022, 08:36
Expert Reply
the Q may look very lengthy and full of values.
But here we can easily find a solution if we understand the concepts..
three scenarios.
1) 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
2) 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
3) if the number rolled times 0.1 is less than the player's current number and is even, the players number is unaffected...
then there are some %s given...
What can we finally deduct..
THE MAX VALUE...
YES, the max value can be 0.7...
reason:- after a person has got 0.6, there is only one value, which can increase 0.6 and that is by throwing 6..
this will take the value to 0.7 but cannot increase it further as there is no 7 on dice..
so 0.8 is out..
only D is without (i)
ans D
But here we can easily find a solution if we understand the concepts..
three scenarios.
1) 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
2) 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
3) if the number rolled times 0.1 is less than the player's current number and is even, the players number is unaffected...
then there are some %s given...
What can we finally deduct..
THE MAX VALUE...
YES, the max value can be 0.7...
reason:- after a person has got 0.6, there is only one value, which can increase 0.6 and that is by throwing 6..
this will take the value to 0.7 but cannot increase it further as there is no 7 on dice..
so 0.8 is out..
only D is without (i)
ans D
gmatclubot
Re: A game is played with a six sided, regularly numbered fair die. A play [#permalink]
18 Apr 2022, 08:36
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