how many items are in the event exactly one tail when a coin is flipped 3 times

1 answer

To determine the number of items in the event "exactly one tail when a coin is flipped 3 times," we need to count the number of outcomes that satisfy this condition.

When a coin is flipped, there are 2 possible outcomes - it can either land on heads or tails.

In a sequence of 3 coin flips, the possible outcomes can be listed as follows:
1. HHH
2. HHT
3. HTH
4. HTT
5. THH
6. THT
7. TTH
8. TTT

Out of these 8 outcomes, we can see that there are exactly 3 outcomes that have only one tail:
1. HHT
2. HTH
3. THH

Therefore, there are 3 items in the event "exactly one tail when a coin is flipped 3 times."