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# A deck of 52 cards contains cards numbered 1 through 13 in each of 4

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
A deck of 52 cards contains cards numbered 1 through 13 in each of 4  [#permalink]

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29 Jan 2018, 06:13
00:00

Difficulty:

15% (low)

Question Stats:

88% (01:12) correct 12% (01:16) wrong based on 69 sessions

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A deck of 52 cards contains cards numbered 1 through 13 in each of 4 different colors. John will win $100 if he pulls a card numbered either 7 or 9 from the deck. What is the probability that John will win$100?

A. 1/52
B. 1/26
C. 1/13
D. 2/13
E. 4/13

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Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4  [#permalink]

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29 Jan 2018, 09:47
D

Sample set =52

Cards numbered 7 =4
Probability =4/52

Cards numbered 9 =4
Probability =4/52

Total Probability = 4/52 +4/52=8/52=2/13
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Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4  [#permalink]

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29 Jan 2018, 11:14
Total probability= 8C1/52C1
=2/13
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Affiliations: Target Test Prep
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Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4  [#permalink]

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30 Jan 2018, 11:18
Bunuel wrote:
A deck of 52 cards contains cards numbered 1 through 13 in each of 4 different colors. John will win $100 if he pulls a card numbered either 7 or 9 from the deck. What is the probability that John will win$100?

A. 1/52
B. 1/26
C. 1/13
D. 2/13
E. 4/13

Since there are four 7’s and four 9’s, the probability that John wins $100 is 8/52 = 2/13. Answer: D _________________ # Jeffrey Miller Head of GMAT Instruction Jeff@TargetTestPrep.com 122 Reviews 5-star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. e-GMAT Representative Joined: 04 Jan 2015 Posts: 3078 Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4 [#permalink] ### Show Tags 31 Jan 2018, 01:34 Bunuel wrote: A deck of 52 cards contains cards numbered 1 through 13 in each of 4 different colors. John will win$100 if he pulls a card numbered either 7 or 9 from the deck. What is the probability that John will win $100? A. 1/52 B. 1/26 C. 1/13 D. 2/13 E. 4/13 Solution • Total cards = 52. o Number of cards that John pulls out = 1 o Thus, total possible ways of pulling out any card = 52C1 =52 ways • To win$100, he needs to get either 7 or 9
o There are cards of 4 colors and each color has cards numbered 1 to 13.
o Thus, each color card with have 7 or 9 in it.
o Total favorable cards available $$= 2 + 2 + 2 + 2 =8$$ cards
o And total ways to pull out one favorable card = 8C1 =8 ways
• Therefore, the probability that John will win \$100 $$= \frac{Favorable Cases}{Total Cases} = \frac{8}{52} = \frac{2}{13}$$

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Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4   [#permalink] 31 Jan 2018, 01:34
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