An employee of the records office at a certain universitycurrently has ten forms on his desk awaiting processing.Six of these are withdrawal petitions and the other fourare course substitution requests.a. If he randomly selects six of these forms to give to asubordinate, what is the probability that only one ofthe two types of forms remains on his desk?b. Suppose he has time to process only four of theseforms before leaving for the day. If these four arerandomly selected one by one, what is the probabilitythat each succeeding form is of a different type fromits predecessor?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An employee of the records office at a certain university
currently has ten forms on his desk awaiting processing.
Six of these are withdrawal petitions and the other four
are course substitution requests.
a. If he randomly selects six of these forms to give to a
subordinate, what is the probability that only one of
the two types of forms remains on his desk?
b. Suppose he has time to process only four of these
forms before leaving for the day. If these four are
randomly selected one by one, what is the probability
that each succeeding form is of a different type from
its predecessor?

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