A coin is tossed three times. Consider the following events

[math]A[/math]: Heads on the first toss.

[math]B[/math]: Tails on the second.

[math]C[/math]: Heads on the third toss.

[math]D[/math]: All three outcomes the same (HHH or TTT).

[math]E[/math]: Exactly one head turns up.

• Which of the following pairs of these events are independent? (1) [math]A[/math], [math]B[/math] (2) [math]A[/math], [math]D[/math] (3) [math]A[/math], [math]E[/math] (4) [math]D[/math], [math]E[/math]
• Which of the following triples of these events are independent? (1) [math]A[/math], [math]B[/math], [math]C[/math] (2) [math]A[/math], [math]B[/math], [math]D[/math] (3) [math]C[/math], [math]D[/math], [math]E[/math]