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

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

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29 Jan 2018, 05:13
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Difficulty:

15% (low)

Question Stats:

88% (01:12) correct 13% (01:16) wrong based on 66 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, 08:47
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, 10:14
Total probability= 8C1/52C1
=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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30 Jan 2018, 10:18
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 _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions e-GMAT Representative Joined: 04 Jan 2015 Posts: 2456 Re: A deck of 52 cards contains cards numbered 1 through 13 in each of 4 [#permalink] Show Tags 31 Jan 2018, 00:34 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 &nbs [#permalink] 31 Jan 2018, 00:34
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