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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2949
Given Kudos: 1288
GPA: 3.39
Six cards numbered from 1 to 6 are placed in an empty bowl. First one
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17 Nov 2021, 03:19
17 Nov 2021, 03:19
2
Expert Reply
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Question Stats:
50% (01:18) correct
50% (01:22) wrong based on 8 sessions
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Six cards numbered from 1 to 6 are placed in an empty bowl. First, one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5?
A. 2/5
B. 3/5
C. 1/18
D. 1/3
E. 1/6
A. 2/5
B. 3/5
C. 1/18
D. 1/3
E. 1/6
Retired Moderator
Joined: 09 Nov 2021
Status:GRE Tutor London and Online
Affiliations: Private GMAT/GRE Tutor London
Posts: 76
Given Kudos: 6
Re: Six cards numbered from 1 to 6 are placed in an empty bowl. First one
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17 Nov 2021, 04:53
17 Nov 2021, 04:53
2
If the cards add to 8, that gives us these possibilities (remember that choosing (a,b) will be distinct from choosing (b,a)):
2,6 and 6,2
3,5 and 5,3
4,4
That's five different possibilities that sum to 8, of which two contain a 5.
Therefore the probability is 2/5 or answer A.
2,6 and 6,2
3,5 and 5,3
4,4
That's five different possibilities that sum to 8, of which two contain a 5.
Therefore the probability is 2/5 or answer A.
Retired Moderator
Joined: 09 Nov 2021
Status:GRE Tutor London and Online
Affiliations: Private GMAT/GRE Tutor London
Posts: 76
Given Kudos: 6
Six cards numbered from 1 to 6 are placed in an empty bowl. First one
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09 Feb 2022, 09:08
09 Feb 2022, 09:08
1
Here's a video of my solution to the same problem:
