Revision as of 03:16, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> A coin is tossed three times. Consider the following events\newline <math>A</math>: Heads on the first toss.\newline <math>B</math>: Tails on the second.\newline <math>C</math>: Heads on the third toss.\newline <math>D</math>: All three outcomes...")
BBy Bot
Jun 09'24
Exercise
[math]
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A coin is tossed three times. Consider the following events\newline
[math]A[/math]: Heads on the first toss.\newline [math]B[/math]: Tails on the second.\newline [math]C[/math]: Heads on the third toss.\newline [math]D[/math]: All three outcomes the same (HHH or TTT).\newline [math]E[/math]: Exactly one head turns up.
- Which of the following pairs of these events are independent?\newline (1) [math]A[/math], [math]B[/math]\newline (2) [math]A[/math], [math]D[/math]\newline (3) [math]A[/math], [math]E[/math]\newline (4) [math]D[/math], [math]E[/math]
- Which of the following triples of these events are independent?\newline (1) [math]A[/math], [math]B[/math], [math]C[/math]\newline (2) [math]A[/math], [math]B[/math], [math]D[/math]\newline (3) [math]C[/math], [math]D[/math], [math]E[/math]