Stat 1040
Chapter 13 Solutions

  1. Option (i) has higher chances and will win you more money.

  2. Option (ii) is better because the un-ordered version has higher chances. (24 times as high.)

    1. True.
    2. True.
    3. False. The correct chance is (1 / 52) * (1 / 51) because these events are not independent.

  4. (c) is correct. Every possible string of H's and T's is equally likely.

    1. (4/6)*(4/6)*(4/6)*(4/6) = (about) 0.20 or 20%.
    2. (2/6)*(2/6)*(2/6)*(2/6) = (about) 0.012 or 1.2%.
    3. This is the opposite of (a), so the chance is 100% - 20% = 80%.

    1. (1/6)^10 = 1/60,466,176.
    2. 1 - 1/60,466,176 = (about) 1.
    3. (5/6)^10 = (about) 0.16 or 16%.

  7. Option (ii) is better. You have the same 50-50 chance of winning one dollar, but for option (ii) you have no way to lose money.

  8. (3/100) * (2/99) * (1/98) = (about) 6/1,000,000.