Suppose you have a set S of 40 objects, split into four classes (C1, C2, C3, and C4) of 10 objects each. Objects within a class are identical. • You pick one object from S at random. What is the probability that the object belongs to the class C4? • You pick three objects at random, one at a time, with replacement. What is the probability that all three belong to the class C4? • You pick three objects at random, one at a time, without replacement. What is the probability that all three belong to the class C1?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose you have a set S of 40 objects, split into four classes (C1, C2, C3, and C4) of 10 objects each.
Objects within a class are identical.
• You pick one object from S at random. What is the probability that the object belongs to the class
C4?
• You pick three objects at random, one at a time, with replacement. What is the probability that all
three belong to the class C4?
• You pick three objects at random, one at a time, without replacement. What is the probability that
all three belong to the class C1?
Transcribed Image Text:Suppose you have a set S of 40 objects, split into four classes (C1, C2, C3, and C4) of 10 objects each. Objects within a class are identical. • You pick one object from S at random. What is the probability that the object belongs to the class C4? • You pick three objects at random, one at a time, with replacement. What is the probability that all three belong to the class C4? • You pick three objects at random, one at a time, without replacement. What is the probability that all three belong to the class C1?
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