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A six-sided die is rolled several times and the results recorded.
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27 Jul 2022, 01:51
27 Jul 2022, 01:51
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Question Stats:
33% (01:31) correct
66% (01:29) wrong based on 45 sessions
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A six-sided die is rolled several times and the results recorded.
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 |
The probability of rolling a prime number on each of two rolls |
The probability of rolling an even number or a 1 on each of three rolls |
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)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
A six-sided die is rolled several times and the results recorded.
[#permalink]
27 Jul 2022, 11:47
27 Jul 2022, 11:47
1
Carcass wrote:
A six-sided die is rolled several times and the results recorded.
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 |
The probability of rolling a prime number on each of two rolls |
The probability of rolling an even number or a 1 on each of three rolls |
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)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Quantity A:
Possible cases in one roll: 2,3,5
Total possible outcomes: 1,2,3,4,5,6
Probability of obtaining a prime number on just one roll: \(\frac{3}{6}\)
Probability of obtaining a prime number on each of two rolls:
\(\frac{3}{6} * \frac{3}{6} = \frac{1}{4} = 0.25\)
Quantity B:
Possible cases in one roll: 1,2,4,6
Total possible outcomes: 1,2,3,4,5,6
Probability of obtaining them on just one roll: \(\frac{4}{6}\)
Probability of obtaining them on each of three rolls:
\(\frac{4}{6} * \frac{4}{6} * \frac{4}{6} = \frac{8}{27} = 0.29...\)
Quantity B > Quantity A
Re: A six-sided die is rolled several times and the results recorded.
[#permalink]
17 Jun 2024, 00:13
17 Jun 2024, 00:13
cote wrote:
Carcass wrote:
A six-sided die is rolled several times and the results recorded.
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 |
The probability of rolling a prime number on each of two rolls |
The probability of rolling an even number or a 1 on each of three rolls |
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)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Quantity A:
Possible cases in one roll: 2,3,5
Total possible outcomes: 1,2,3,4,5,6
Probability of obtaining a prime number on just one roll: \(\frac{3}{6}\)
Probability of obtaining a prime number on each of two rolls:
\(\frac{3}{6} * \frac{3}{6} = \frac{1}{4} = 0.25\)
Quantity B:
Possible cases in one roll: 1,2,4,6
Total possible outcomes: 1,2,3,4,5,6
Probability of obtaining them on just one roll: \(\frac{4}{6}\)
Probability of obtaining them on each of three rolls:
\(\frac{4}{6} * \frac{4}{6} * \frac{4}{6} = \frac{8}{27} = 0.29...\)
Quantity B > Quantity A
shouldn't 1 be excluded from the even numbers? this would make the probability 1/2^3 which is 1/8, making a>b
