A committee will be formed with 3 managers and 4 engineers selected randomly without replacement from 10 managers and 19 engineers. Required:
a. What is the probability that the specific engineer Jane and the specific manager Mary are on the committee?
b. Each of the engineers differ in years of experience. What is the probability that the most experienced and least experienced engineers are on the committee? Round your answer to four decimal places (e. g. 98.7654).