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James , Henry and four other workers work at Farmer-Max .

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Intern
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James , Henry and four other workers work at Farmer-Max . [#permalink]

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New post 14 Jun 2006, 19:05
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James , Henry and four other workers work at Farmer-Max . Two people will be randomly selected to represent company in the upcoming Farmers National Convention.
What is the probability that both James and Hendry be chosen .

?????
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New post 14 Jun 2006, 19:24
is the answer 1/15

6C2=15
2C2=1

Hence 1/15???
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New post 14 Jun 2006, 20:00
Probability is not my strong suite... but here goes...

P(John) = 1/6
P(Henry) = 1/5 (out of 5 after John)
P(John & Henry) = 1/6 x 1/5 = 1/30
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New post 14 Jun 2006, 20:13
6 workers in all

# of ways to pick 2 people = 6C2 = 15 ways

# of ways James and Henry picked = 1

P = 1/15
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New post 14 Jun 2006, 20:14
haas_mba07 wrote:
Probability is not my strong suite... but here goes...

P(John) = 1/6
P(Henry) = 1/5 (out of 5 after John)
P(John & Henry) = 1/6 x 1/5 = 1/30


Your method is okay, but you need to multiply by two. This is becaue you considered only the case where John is picked first, then Henry. But Henry could be picked first, then John.

So you need 2 ( 1/6 * 1/5) = 1/15
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New post 14 Jun 2006, 22:27
Number of ways HJ and JH
Probability of each is 1/30

Total P = 1/30 + 1/30 = 1/15
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New post 15 Jun 2006, 07:00
ywilfred wrote:
haas_mba07 wrote:
Probability is not my strong suite... but here goes...

P(John) = 1/6
P(Henry) = 1/5 (out of 5 after John)
P(John & Henry) = 1/6 x 1/5 = 1/30


Your method is okay, but you need to multiply by two. This is becaue you considered only the case where John is picked first, then Henry. But Henry could be picked first, then John.

So you need 2 ( 1/6 * 1/5) = 1/15


Thanks for the explanation, ywilfred. I definately need more pointers and help on Prob.
  [#permalink] 15 Jun 2006, 07:00
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James , Henry and four other workers work at Farmer-Max .

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