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[# 22] 2 Min. Challenge : Birthday

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[# 22] 2 Min. Challenge : Birthday [#permalink] New post 15 Mar 2004, 13:47
Rules

1. Time yourself
2. Solve seperately
3. Write your solution here and please mention your time

Two girls have their birthdays in the same Week. It is known that one
of the girls was born on a Saturday. Determine the probability that both
were born on a Saturday.

1/2
1/4
1/7
1/13
1/14
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 [#permalink] New post 15 Mar 2004, 14:18
C - 1/7 - probability that second girl is born on a saturday.
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 [#permalink] New post 15 Mar 2004, 15:11
Expert's post
Geethu wrote:
C) 1/7

<1 min





8-)
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 [#permalink] New post 15 Mar 2004, 16:58
I will go with 1/7

Few seconds.
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Re: [# 22] 2 Min. Challenge : Birthday [#permalink] New post 15 Mar 2004, 17:03
praetorian123 wrote:
Rules

1. Time yourself
2. Solve seperately
3. Write your solution here and please mention your time

Two girls have their birthdays in the same Week. It is known that one
of the girls was born on a Saturday. Determine the probability that both
were born on a Saturday.

1/2
1/4
1/7
1/13
1/14

The wording of the question was really to mislead us :). Question is same as: Determine the probability that the second girl was born on a saturday given that first girl is born on a saturday. If 1/49 was among answer choices, then it could have maybe misled a few...
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Re: [# 22] 2 Min. Challenge : Birthday [#permalink] New post 15 Mar 2004, 17:11
sorry guys, but you got to think harder
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 [#permalink] New post 15 Mar 2004, 20:20
What is the answer then?
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Re: [# 22] 2 Min. Challenge : Birthday [#permalink] New post 15 Mar 2004, 21:42
praetorian123 wrote:
Rules

1. Time yourself
2. Solve seperately
3. Write your solution here and please mention your time

Two girls have their birthdays in the same Week. It is known that one
of the girls was born on a Saturday. Determine the probability that both
were born on a Saturday.

1/2
1/4
1/7
1/13
1/14


Well, i think this got to everyone. The answer is 1/13.

We know that at least one person has a birthday on Saturday. So for the probability that both were born on a Saturday, i first list the possibilities of birthdays for both girls .

G1-Girl 1
G2-Girl 2

G1 - G2
Sun-Sat
Mon-Sat
Tue-Sat
Wed-Sat
Thu-Sat
Fri-Sat
Sat-Sat
Sat-Sun
Sat-Mon
Sat-Tue
Sat-Wed
Sat-Thu
Sat-Fri

Note, we do not know which girl's birthday is on Saturday. So, we have to fix Each girls birthday on Saturday at a time and then list out the rest of the possibilities.

We have 13 possible combinations. Of those thirteen possible combinations that fulfill the condition, only one has two Saturdays, hence 1/13.
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GMAT 1: 750 Q49 V42
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WE: Information Technology (Hospitality and Tourism)
Followers: 2219

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Re: [# 22] 2 Min. Challenge : Birthday [#permalink] New post 16 Mar 2004, 00:33
Expert's post
praetorian123 wrote:
praetorian123 wrote:
Rules

1. Time yourself
2. Solve seperately
3. Write your solution here and please mention your time

Two girls have their birthdays in the same Week. It is known that one
of the girls was born on a Saturday. Determine the probability that both
were born on a Saturday.

1/2
1/4
1/7
1/13
1/14


Well, i think this got to everyone. The answer is 1/13.

We know that at least one person has a birthday on Saturday. So for the probability that both were born on a Saturday, i first list the possibilities of birthdays for both girls .

G1-Girl 1
G2-Girl 2

G1 - G2
Sun-Sat
Mon-Sat
Tue-Sat
Wed-Sat
Thu-Sat
Fri-Sat
Sat-Sat
Sat-Sun
Sat-Mon
Sat-Tue
Sat-Wed
Sat-Thu
Sat-Fri

Note, we do not know which girl's birthday is on Saturday. So, we have to fix Each girls birthday on Saturday at a time and then list out the rest of the possibilities.

We have 13 possible combinations. Of those thirteen possible combinations that fulfill the condition, only one has two Saturdays, hence 1/13.




:-D
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 [#permalink] New post 16 Mar 2004, 01:30
Thats a really cool one.......
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 [#permalink] New post 16 Mar 2004, 05:04
simple yet beautiful. Kudos
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  [#permalink] 16 Mar 2004, 05:04
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[# 22] 2 Min. Challenge : Birthday

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