Question: Samuel draws two socks at random from a drawer containing 21 black, 22 white and 23 grey socks. He observes that both socks drawn are

  1. Samuel draws two socks at random from a drawer containing 21 black, 22 white and 23 grey socks. He observes that both socks drawn are black.or white

  1. Describe the theoretical sample space using set notation. Assume that the order of the two socks is NOT important.is important
  2. Determine the theoretical probability of drawing two socks of the same colour?Different colour.
  3. Determine the experimental probability of drawing two socks of the same colour?Different colour.
  4. Determine the theoretical probability of drawing two black socks?Two white socks
  5. Determine the experimental probability of drawing two black socks?Two green socks.
  6. How many elements are in the set for the overall colour of the socks?Not colour?
  7. Identify the colour in this set (from part f) using set notation.
  8. How many possible subsets are in this set (from part g)?
  9. Identify (write out) all subsets of this set (from part h).

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