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02 Nov 2021, 09:00
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D
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Difficulty:
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Question Stats:
51% (01:36) correct
49%
(01:25)
wrong
based on 216
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A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another bag has 60 marbles numbered consecutively 90 - 149 inclusive. If a marble is randomly chosen from each bag, what is the probability that two marbles have the same number
A. 1/10
B. 1/60
C. 1/100
D. 1/600
E. 1/6000
A. 1/10
B. 1/60
C. 1/100
D. 1/600
E. 1/6000
02 Nov 2021, 10:38
Kudos
Bookmarks
IMO D
Probability of getting the same number means the probability of getting a number with a match in the second bag AND the probability of getting its one and only pair.
The first probability is 10 out of 100 which simplifies to 1/10 as there are 10 marbles with a match in the other bag.
Once you get a marble, finding its only pair is 1 out of 60 or 1/60
Since it is an "AND" probability we must multiply both probabilities to get 1/600 which is choice D
Probability of getting the same number means the probability of getting a number with a match in the second bag AND the probability of getting its one and only pair.
The first probability is 10 out of 100 which simplifies to 1/10 as there are 10 marbles with a match in the other bag.
Once you get a marble, finding its only pair is 1 out of 60 or 1/60
Since it is an "AND" probability we must multiply both probabilities to get 1/600 which is choice D
18 Apr 2025, 08:29
Kudos
Bookmarks
In Bag A, there are 10 marbles (90-99) that can match one from Bag B (90-99).
Consider the probability of the case in which 90 is chosen from both Bag A and Bag B.
1/100 * 1/60 = 1/6000.
Since there are 10 cases like this, 10*1/6000= 1/600
Answer is D.
Consider the probability of the case in which 90 is chosen from both Bag A and Bag B.
1/100 * 1/60 = 1/6000.
Since there are 10 cases like this, 10*1/6000= 1/600
Answer is D.
Bunuel
A bag has 100 marbles numbered consecutively 0 - 99 inclusive. Another bag has 60 marbles numbered consecutively 90 - 149 inclusive. If a marble is randomly chosen from each bag, what is the probability that two marbles have the same number
A. 1/10
B. 1/60
C. 1/100
D. 1/600
E. 1/6000
A. 1/10
B. 1/60
C. 1/100
D. 1/600
E. 1/6000
