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

Question

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 .

?????

GMATCUBS21 · Answer

is the answer 1/15

6C2=15
2C2=1

Hence 1/15???

haas_mba07 · Answer

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

ywilfred · Answer

6 workers in all

# of ways to pick 2 people = 6C2 = 15 ways

# of ways James and Henry picked = 1

P = 1/15

ywilfred · Answer

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

jaynayak · Answer

Number of ways HJ and JH
Probability of each is 1/30

Total P = 1/30 + 1/30 = 1/15

haas_mba07 · Answer

Thanks for the explanation, ywilfred. I definately need more pointers and help on Prob.

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

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