BBy Bot
Jun 09'24
Exercise
A coin is tossed twice. Consider the following events.
[math]A[/math]: Heads on the first toss.
[math]B[/math]: Heads on the second toss.
[math]C[/math]: The two tosses come out the same.
- Show that [math]A[/math], [math]B[/math], [math]C[/math] are pairwise independent but not independent.
- Show that [math]C[/math] is independent of [math]A[/math] and [math]B[/math] but not of [math]A \cap B[/math].