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08 Apr 2025, 00:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
54% (01:53) correct
46%
(02:18)
wrong
based on 142
sessions
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Not Attempted Yet
An n-sided die has sides labeled with the numbers 1 through n, inclusive, and has an equal probability of landing on any side when rolled. If the die is rolled twice, what is the probability of rolling 1 both times?
(1) If the die is rolled twice, the probability that the two rolls are different is 80%.
(1) If the die is rolled twice, the probability that the two rolls are equal is 1/n
(1) If the die is rolled twice, the probability that the two rolls are different is 80%.
(1) If the die is rolled twice, the probability that the two rolls are equal is 1/n
08 Apr 2025, 03:11
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Probability of rolling 1 both times = 1/n * 1/n = 1/(n^2)
We need to know n
Probability of rolling same number on both times = n * 1/(n^2) = 1/n
Statement 1
1/n = 20%
n= 100/20 = 5
Probability of rolling 1 both times = 1/(n^2) = 1/25
Sufficient
Statement 2
No new info, we know already the probability that the two rolls are equal is 1/n
Insufficient
Answer A
We need to know n
Probability of rolling same number on both times = n * 1/(n^2) = 1/n
Statement 1
1/n = 20%
n= 100/20 = 5
Probability of rolling 1 both times = 1/(n^2) = 1/25
Sufficient
Statement 2
No new info, we know already the probability that the two rolls are equal is 1/n
Insufficient
Answer A
Bunuel
08 Apr 2025, 03:45
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Probability of rolling 1 both times = 1/n* 1/n = 1/ (n^2)
1. probability that the two rolls are different = 1 - (Probability that two rolls are same) = 1 - 1*1/n = 80% => (n-1)/n = 4/5
=> n= 5
Sufficient ( Possible choices -> ADE)
2. probability that the two rolls are equal = n*1/n*1/n = 1/n same as given in question. Not Sufficient
A is correct.
1. probability that the two rolls are different = 1 - (Probability that two rolls are same) = 1 - 1*1/n = 80% => (n-1)/n = 4/5
=> n= 5
Sufficient ( Possible choices -> ADE)
2. probability that the two rolls are equal = n*1/n*1/n = 1/n same as given in question. Not Sufficient
A is correct.
