An urn contains 5 red marbles and 2 yellow marbles. One marble is​ removed, its color​ noted, and not replaced. A second marble is removed and its color is noted.   ​(a) What is the probability that both marbles are red​? yellow​? ​(b) What is the probability that exactly one marble is red​?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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An urn contains
5
red
marbles and
2
yellow
marbles. One marble is​ removed, its color​ noted, and not replaced. A second marble is removed and its color is noted.
 
​(a) What is the probability that both marbles are
red​?
yellow​?
​(b) What is the probability that exactly one marble is
red​?
(a)
​Pr(RR​)=nothing
​(Type an integer or a simplified​ fraction.)
Expert Solution
Step 1

Given Information -

Total number of red marbles = 5

Total number of yellow marbles = 2

Total number of marbles = 7

We have to find the following -

​(a) What is the probability that both marbles are red?
 
​(b) What is the probability that exactly one marble is red?
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