What is the probability that, of the 5 circles selected at random, at least one is orange and at least one is yellow? 2) What is the probability that, of the 5 circles selected at random, at least two are orange and at least two are yellow?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Rework problem 13 and 14 from section 2.4 of your textbook (page 81) about the bucket containing orange tennis circles and yellow tennis circles from which 5 circles are selected at random, but assume that the bucket contains 8 orange circles and 9 yellow circles.

1) What is the probability that, of the 5 circles selected at random, at least one is orange and at least one is yellow?

2) What is the probability that, of the 5 circles selected at random, at least two are orange and at least two are yellow?

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Step 1: We write what we have to find out and given

The bucket contains orange tennis circles and yellow tennis circles from which 5 circles are selected at random, but assume that the bucket contains 8 orange circles and 9 yellow circles.


1) What is the probability that, of the 5 circles selected at random, at least one is orange and at least one is yellow?


2) What is the probability that, of the 5 circles selected at random, at least two are orange and at least two are yellow?

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