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16 Jun 2025, 00:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
94% (01:01) correct
6%
(01:40)
wrong
based on 69
sessions
History
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Time
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Not Attempted Yet
Ten colored marbles are placed in a bowl. Each of the marbles is one of three colors—blue, red, or green. How many of the ten marbles are green?
(1) The probability of selecting a red marble from the bowl is 1 out of 5.
(2) The probability of selecting a blue marble is twice that of selecting a red marble.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) The probability of selecting a red marble from the bowl is 1 out of 5.
(2) The probability of selecting a blue marble is twice that of selecting a red marble.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
16 Jun 2025, 01:06
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Bookmarks
R+G+B=10
G=?
G=10-B-R
Need B and R
S1
P(R)=1/5 =>2/10
R=2
No info on B
Insufficient
S2
P(B)=2P(R)
B=2R
No info on R
Insufficient
Combined
R=2, B=4, G=10-2-4=4
answer C
G=?
G=10-B-R
Need B and R
S1
P(R)=1/5 =>2/10
R=2
No info on B
Insufficient
S2
P(B)=2P(R)
B=2R
No info on R
Insufficient
Combined
R=2, B=4, G=10-2-4=4
answer C
Bunuel
16 Jun 2025, 05:05
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Ten colored marbles are placed in a bowl. Each of the marbles is one of three colors—blue, red, or green. How many of the ten marbles are green?
(1) The probability of selecting a red marble from the bowl is 1 out of 5.
The probability of selecting Red marble is 1/5. So, there are total = 1/5 x 10= 2 Red marbles. But, out of remaining 8 marbles, we are still unsure how many to these are Green ones. So, option (1) is insufficient.
(2) The probability of selecting a blue marble is twice that of selecting a red marble.
Certainly, insufficient since the probability of selecting red one can be anything like, 1/5, 2/5, 3/5 or 4/5. So, the probability of selecting Blue one remains uncertain.
Now, if we combine these two statements together, we have 1 Red Marble and Blue = 2 x 1/5 x 10= 4. So, now we have 2 Red Marbles, 4 Blue Marbles and 10-6= 4 Green Marbles.
Answer: C.
(1) The probability of selecting a red marble from the bowl is 1 out of 5.
The probability of selecting Red marble is 1/5. So, there are total = 1/5 x 10= 2 Red marbles. But, out of remaining 8 marbles, we are still unsure how many to these are Green ones. So, option (1) is insufficient.
(2) The probability of selecting a blue marble is twice that of selecting a red marble.
Certainly, insufficient since the probability of selecting red one can be anything like, 1/5, 2/5, 3/5 or 4/5. So, the probability of selecting Blue one remains uncertain.
Now, if we combine these two statements together, we have 1 Red Marble and Blue = 2 x 1/5 x 10= 4. So, now we have 2 Red Marbles, 4 Blue Marbles and 10-6= 4 Green Marbles.
Answer: C.
