You Do It

  1. 43.

      1. S = {blue, orange, green, yellow, red, brown}

      2. 0.37

      3. 0.84

      1. S = {triples of three colors}

      2. ≈ 0.0138

      3. 0.13

      4. ≈ 0.561

  2. 45.

    1. Assuming independence and that the caller believes the agent is foreign, ≈ 0.238

    2. ≈ 0.146

    3. 0.438

    4. ≈ 0.0000628

  3. 47.

    1. ≈ 0.905

    2. 1 in 10,000

    3. 0.9. The events have such small individual probability that there's not much double-counting.

  4. 49. ≈ 0.262

  5. 51.

    1. 9/16. The necessary assumption of independence is questionable here.

    2. 0. None

  6. 53.

    1. 169/365 ≈ 0.463

    2. India lowest, the United States highest

    3. 0.232

  7. 55.

    1. 1/8

    2. Yes. The probability of three in a row is ≈ 0.00003.

    3. ≈ 0.266. Assume that the purchase amount is unrelated to the discount.

  8. 57.

    1. The plot does not indicate anything out of the ordinary, as if independent events.

    2. One ...

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