Trevor tosses a coin 3 times. Consider the following events.
: The first toss is heads.
: The second toss is heads.
: There are exactly 2 consecutive heads.
For each of the following pairs of events, determine if the events are independent.

and (This is in set notation.)

and (This is in set notation.)

and (This is in set notation.)

List the sample space.

Use the sample space to determine the relevant probabilities.

Use the definition of independence to determine if the events are independent in each specified pair.