Example 2
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.