Topic Review Solutions — Probability

Answers

1. Sample spaces Fluency

   1. {H, T}
   2. {1, 2, 3, 4, 5, 6}
   3. {M, A, T, H, S}
   4. {Tuesday, Thursday}

2. Marble bag probabilities Fluency

   1. 12
   2. 30%
   3. 0.2
   4. 12

3. Spinner probabilities Understanding

   1. 13
   2. 0.25
   3. 58.3%
   4. No — P(green) = 13 and P(purple) = 14, so green is more likely

4. Complement probabilities Understanding

   1. P(no rain) = 0.65
   2. P(blue) = 47
   3. P(not catching bus) = 40%

5. Problem solving Problem Solving

   1. P(>4) = 13 ≈ 0.33; P(head) = 12 = 0.5 — flipping heads is more likely
   2. 8 red marbles
   3. Yellow = 2 sections; Blue = 3 sections