(a) The 7 letters from the city name, NEW YORK, are put into a bin and drawn out at random without replacement. The letters are arranged from left to right in the order they are drawn. Find the probability that the result spells NEW YORK.
(b) The same experiment as in part (a) above is done with the 7 letters from CHICAGO. Find the probability that the result spells CHICAGO. Is it the same as in part (a)? If so, why? If not, why not?
The solution provides step by step method for the calculation of probabilities. Formula for the calculation and Interpretations of the results are also included.