SOLUTION: I have 8 cans of soft drinks, 4 different brands with 1 regular and 1 diet for each brand. I arrange 4 cans in a row randomly. Find probability that first two are diet and second

Algebra ->  Probability-and-statistics -> SOLUTION: I have 8 cans of soft drinks, 4 different brands with 1 regular and 1 diet for each brand. I arrange 4 cans in a row randomly. Find probability that first two are diet and second      Log On


   



Question 609989: I have 8 cans of soft drinks, 4 different brands with 1 regular and 1 diet for each brand. I arrange 4 cans in a row randomly. Find probability that first two are diet and second two are regular?
[I know the anser is 3/35, but I'm not sure how to get this using the combination of 2 out of 4 for regular, and 2 out of 4 for diet. Thanking you in advance for the direction!]
DCM

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
8 cans of soft drinks, 4 different brands with 1 regular and 1 diet for each brand.(4 diet and 4 regular)
4 cans in arranged in a row randomly.
P(first two are diet and second two are regular) %284%2F8%29%2A%283%2F7%29%2A%284%2F6%29%2A%283%2F5%29