Question

write out the sample space for the given experiment. use the letter h to indicate heads and t for tails.

3 coins are tossed.

answer
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separate your answers using commas.

Explanation:

Identify the experiment and outcomes

The experiment consists of tossing 3 coins. Each coin has two possible outcomes: Heads (\(H\)) or Tails (\(T\)).

Determine the total number of outcomes

Since each of the 3 coins has 2 possible outcomes, the total number of outcomes in the sample space is:

$$ 2 \times 2 \times 2 = 2^3 = 8 $$

List all possible outcomes systematically

We can list the outcomes by grouping them by the number of Heads:

• 3 Heads: \(HHH\)
• 2 Heads: \(HHT, HTH, THH\)
• 1 Head: \(HTT, THT, TTH\)
• 0 Heads: \(TTT\)

Format the sample space

The question asks to write out the sample space, separating the answers with commas. The input field is enclosed in curly braces \(\{ \dots \}\), so we list the 8 outcomes separated by commas:

$$ HHH, HHT, HTH, HTT, THH, THT, TTH, TTT $$

Answer:

Write out the sample space for the given experiment. Use the letter H to indicate heads and T for tails.

3 coins are tossed.

Separate your answers using commas.
{ <blank>HHH, HHT, HTH, HTT, THH, THT, TTH, TTT</blank> }