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

To find the sample space for tossing 3 coins, we list every possible combination of outcomes for the three tosses. Each coin has two possible outcomes: Heads (H) or Tails (T). Since three coins are tossed, the total number of outcomes in the sample space is 2 x 2 x 2 = 8. We can systematically list them by considering the number of heads: 1) Three heads: HHH. 2) Two heads and one tail: HHT, HTH, THH. 3) One head and two tails: HTT, THT, TTH. 4) Zero heads (three tails): TTT. Combining these, the complete sample space, separated by commas, is: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.