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28 Jan 2018, 23:35
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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:
25%
(medium)
Question Stats:
79% (01:45) correct
21%
(01:38)
wrong
based on 233
sessions
History
Date
Time
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Not Attempted Yet
Bowl X has 4 cards in it, numbered 1 - 4. Bowl Y has 5 cards in it, numbered 5 - 9. What is the probability that the sum of a card pulled randomly from Bowl X and a card pulled randomly from Bowl Y will equal 8?
A. 1/20
B. 1/10
C. 3/20
D. 2/16
E. 3/16
A. 1/20
B. 1/10
C. 3/20
D. 2/16
E. 3/16
13 Feb 2018, 10:55
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Bunuel
Bowl X has 4 cards in it, numbered 1 - 4. Bowl Y has 5 cards in it, numbered 5 - 9. What is the probability that the sum of a card pulled randomly from Bowl X and a card pulled randomly from Bowl Y will equal 8?
A. 1/20
B. 1/10
C. 3/20
D. 2/16
E. 3/16
A. 1/20
B. 1/10
C. 3/20
D. 2/16
E. 3/16
NOTE: In order to get a sum of 8, the card selected from Bowl X must be 1, 2 or 3.
Here's why: Cards 1, 2 and 3 all have corresponding cards in Bowl Y that add to get 8 (i.e., 1+7 = 8, 2+6 = 8 and 3+5 = 8)
However, card 4 (from Bowl X) does NOT have a corresponding card in Bowl Y that add to get 8.
So P(sum is 8) = P(card selected from Bowl X is 1, 2 or 3 AND card selected from Bowl Y is the one card that works with the first card to get a sum of 8)
= P(card selected from Bowl X is 1, 2 or 3) x P(card selected from Bowl Y is the one card that works with the first card to get a sum of 8)
= 3/4 x 1/5
= 3/20
Answer: C
Cheers,
Brent
General Discussion
28 Jan 2018, 23:51
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Answer is C.
Total number of possibilities is 20 out of which 3 will yield sum of 8
Sent from my Redmi Note 4 using GMAT Club Forum mobile app
Total number of possibilities is 20 out of which 3 will yield sum of 8
Sent from my Redmi Note 4 using GMAT Club Forum mobile app
