A ball is drawn at random from a container that holds 8 yellow balls numbered 1 to 8, 6 orange balls numbered 1 to 6, and 10 gray balls numbered 1 to 10. A) What is the probability of obtaining an orange ball or a ball numbered 5 or an orange ball numbered 5 in a draw of one ball? B) What is the probability of a gray ball or a ball numbered 8 or a gray ball numbered 8 in a draw of one ball?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A ball is drawn at random from a container that holds 8 yellow balls numbered 1 to 8, 6 orange balls numbered 1 to 6, and 10 gray balls numbered 1 to 10.

  1. A) What is the probability of obtaining an orange ball or a ball numbered 5 or an orange ball numbered 5 in a

draw of one ball?

  1. B) What is the probability of a gray ball or a ball numbered 8 or a gray ball numbered 8 in a draw of one ball?

From the solution given, is it not ball numbered 5  (3/24 for the first question) and ball numbered 8 (2/24) for the second question?

Please explain what theorem is used and why. Thank you.

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