Problem 2.5 Show that if A and B, (n = 1,2,3,.….) are events, then n=1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![**Problem 2.5**
Show that if \( A \) and \( B_n \) (\( n = 1, 2, 3, \ldots \)) are events, then
\[
A \cap \left(\bigcup_{n=1}^{\infty} B_n\right) = \bigcup_{n=1}^{\infty} (A \cap B_n)
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88290c14-c340-4cf2-9a35-bb9d74906999%2Fbe0fad8e-dab3-46b5-a3e6-dc7bb5fdf131%2Fsyfqyob_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 2.5**
Show that if \( A \) and \( B_n \) (\( n = 1, 2, 3, \ldots \)) are events, then
\[
A \cap \left(\bigcup_{n=1}^{\infty} B_n\right) = \bigcup_{n=1}^{\infty} (A \cap B_n)
\]
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