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22. -/ 3 points an experiment consists of tossing a nickel, a dime, and…

Question

  1. -/ 3 points an experiment consists of tossing a nickel, a dime, and a quarter. of interest is the side the coin lands on. - h = heads - t = tails part (a) let the sample space (type your answer using letter combinations separated by commas. example: hhh, ttt, ) part (b) part (c)

Explanation:

Step1: Identify possible outcomes for each coin

Each coin (nickel, dime, quarter) can land on heads (H) or tails (T). So for 3 coins, we use the principle of counting all possible combinations.

Step2: List all combinations

  • Nickel=H, Dime=H, Quarter=H: HHH
  • Nickel=H, Dime=H, Quarter=T: HHT
  • Nickel=H, Dime=T, Quarter=H: HTH
  • Nickel=H, Dime=T, Quarter=T: HTT
  • Nickel=T, Dime=H, Quarter=H: THH
  • Nickel=T, Dime=H, Quarter=T: THT
  • Nickel=T, Dime=T, Quarter=H: TTH
  • Nickel=T, Dime=T, Quarter=T: TTT

Answer:

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