Combanatorics Problem (Probability Application)

[Shoney45]

Homework Statement

From a load of 50 Panasonic tape recorders 35 are destined for L.A. and 15 are destined fro Miami. If two are shipped to Trenton by mistake and the "selection" is made at random, determine the probabilities that:

a) both should have gone to L.A.

b) one should have gone to L.A. and the other to Miami

Homework Equations

The Attempt at a Solution

Alright, I think I'm starting to get the hang of these. But I want to bounce this one off of somebody to get a second set of eyes on it.

For P(both to L.A.) I am getting (35 choose 2)/(50 choose 2) = 0.4857

For P(one to each city) I am getting [(35 choose 1)(15 choose 1)]/(50 choose 2) = 0.4286

 

[jav]

Looks good to me