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15 Jul 2020, 22:32
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3 Blue: 0.090
3 Red: 0.120
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
89% (02:30) correct
11%
(03:08)
wrong
based on 992
sessions
History
Date
Time
Result
Not Attempted Yet
Natalya put 14 blue marbles, 14 red marbles, and no other marbles into 3 empty cups. She put 2 blue marbles and 6 red marbles in Cup A, 6 blue marbles and 4 red marbles in Cup B, and 6 blue marbles and 4 red marbles in Cup C. After this, Dmitry will randomly pick three marbles, one from each cup.
Consistent with the given information, select for 3 blue the probability that Dmitry will pick 3 blue marbles, and select for 3 red the probability that Dmitry will pick 3 red marbles. Make only two selections, one in each column.
Consistent with the given information, select for 3 blue the probability that Dmitry will pick 3 blue marbles, and select for 3 red the probability that Dmitry will pick 3 red marbles. Make only two selections, one in each column.
| 3 Blue | 3 Red | |
| 0.090 | ||
| 0.120 | ||
| 0.125 | ||
| 0.150 | ||
| 0.250 | ||
| 0.500 |
ShowHide Answer
Official Answer
3 Blue: 0.090
3 Red: 0.120
16 Jul 2020, 04:15
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Probability of 3 blue=
Picking blue from each cup
So probability of blue in Cup A = 2/8
probability of blue in Cup B= 6/10
probability of blue in Cup C= 6/10
So Probability of 3 blue= 2/8 * 6/10 *6/10 = 9/100= 0.090
Similarly
Probability of 3 Red=
Picking blue from each cup
So probability of Red in Cup A = 6/8
probability of Red in Cup B= 4/10
probability of Red in Cup C= 4/10
So Probability of 3 Red= 6/8 * 4/10 *4/10 = 0.12
Posted from my mobile device
Picking blue from each cup
So probability of blue in Cup A = 2/8
probability of blue in Cup B= 6/10
probability of blue in Cup C= 6/10
So Probability of 3 blue= 2/8 * 6/10 *6/10 = 9/100= 0.090
Similarly
Probability of 3 Red=
Picking blue from each cup
So probability of Red in Cup A = 6/8
probability of Red in Cup B= 4/10
probability of Red in Cup C= 4/10
So Probability of 3 Red= 6/8 * 4/10 *4/10 = 0.12
Posted from my mobile device
General Discussion
11 Dec 2023, 07:55
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I was thinking should we concsider different case of probability of getting for example all 3 blue marbles from cup B?
in that way the answer would be different !
your response considered the case where one marble is picked from each cup, but I didn't such explicitly from question stem. How we should find it out?
Dear Sajjad1994
what is official explanation. How we can resolve this ambiguity?
in that way the answer would be different !
your response considered the case where one marble is picked from each cup, but I didn't such explicitly from question stem. How we should find it out?
Dear Sajjad1994
what is official explanation. How we can resolve this ambiguity?
Apt0810
