A manufacturer of quality nails produces nails of length 1, 2, 3, 4 and 5 inches. If there is an overrun in the production process, or if the nails are slightly defective, then these nails are placed in a common bin for internal use. Yesterday there were 651 one inch, 243 two inch, 41 three inch, 451 four inch and 333 five inch nails in the common bin.
i. What is the probability of reaching into the bin and getting a four inch nail?
ii. What is the probability of getting a five inch nail?
A particular application requires a nail that is three inches or shorter. What is the probability of getting a nail that will satisfy the requirements of this application?