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A number cube (die) is rolled and a coin is tossed.
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31 Aug 2022, 06:10
31 Aug 2022, 06:10
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A number cube (die) is rolled and a coin is tossed.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
total number of possible outcomes |
8 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
A number cube (die) is rolled and a coin is tossed.
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31 Aug 2022, 09:12
31 Aug 2022, 09:12
1
Carcass wrote:
A number cube (die) is rolled and a coin is tossed.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
total number of possible outcomes |
8 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
For this uestion, we can employ the Fundamental Counting Principle.
For the cube:
Total possible outcomes: 6
For the coin:
Total possible outcomes: 2
Total combinations: \(6 \times 2 = 12\)
Therefore, Quantity A is greater. Option A.
Although listing them is not necessary, visually, it helps a lot:
{1,H}
{1,T}
{2,H}
{2,T}
{3,H}
{3,T}
{4,H}
{4,T}
{5,H}
{5,T}
{6,H}
{6,T}
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Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: A number cube (die) is rolled and a coin is tossed.
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23 Oct 2022, 09:29
23 Oct 2022, 09:29
1
Given that A number cube (die) is rolled and a coin is tossed.
Quantity A: Total number of possible outcomes
Number of outcomes in a dice roll = 6, we can get an number out (1,2,3,4,5,6)
Number of outcomes in a coin toss = 2 (head or Tail)
=> Total number of ways of both happening = 6*2 = 12
Example: (H,1), (H,2)....,(H,6), (T,1),...(T,6)
Clearly, Quantity A(12) > Quantity B(8)
So, Answer will be A
Hope it helps!
Watch the following video to learn How to Solve Probability with Coin Toss Problems
Watch the following video to learn How to Solve Dice Rolling Probability Problems
Quantity A: Total number of possible outcomes
Number of outcomes in a dice roll = 6, we can get an number out (1,2,3,4,5,6)
Number of outcomes in a coin toss = 2 (head or Tail)
=> Total number of ways of both happening = 6*2 = 12
Example: (H,1), (H,2)....,(H,6), (T,1),...(T,6)
Clearly, Quantity A(12) > Quantity B(8)
So, Answer will be A
Hope it helps!
Watch the following video to learn How to Solve Probability with Coin Toss Problems
Watch the following video to learn How to Solve Dice Rolling Probability Problems
