We flip three coins and obtain more tails than heads. Write the event as a set of outcomes.
To write the event "we flip three coins and obtain more tails than heads" as a set of outcomes, we need to consider all the different combinations of coin flips that satisfy the condition.
Let's break it down:
- When we flip three coins, there are two possible outcomes for each flip: heads (H) or tails (T).
- To obtain more tails than heads, we need at least two tails and no more than one head.
Based on this, we can list the possible outcomes that satisfy the condition:
{TTT, TTH, THT, THH}
This set represents all the outcomes where we get more tails than heads when flipping three coins.