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IB Mathematics: Applications and Interpretation SL · 13.1: Probability · 13.1.10

Probability: exam review Exam review: second paper Answers

Section A: short questions

    1. (a) 1/3 (0.333)
    2. (b) 65/81 (0.802)
    3. (c) 50
    4. (d) 7/15 (0.467)
    1. (a) 19
    2. (b) 11/30 (0.367)
    3. (c) 59/90 (0.656)
    1. (a) 1/10 (0.1)
    2. (b) 1/6 (0.167)
    3. (c) 45
    1. (a) 35, 13 and 30
    2. (b) 13/132 (0.0985)
    3. (c) 17/70 (0.243)
    4. (d) Not independent: 0.181 ≠ 0.235
    1. (a) 0.12
    2. (b) No, because P(E ∩ F) = 0.12 ≠ 0
    3. (c) 0.33
    4. (d) 0.15
    1. (a) 38
    2. (b) 25/63 (0.397)
    3. (c) 19/26 (0.731)
    1. (a) 1/4 (0.25)
    2. (b) 4/15 (0.267)
    3. (c) 3/8 (0.375)
    1. (a) 0.45
    2. (b) 0.51
    3. (c) P(U) × P(V) = 0.6 × 0.45 = 0.27 = P(U ∩ V), so they are independent
    1. (a) 13/28 (0.464)
    2. (b) 10/13 (0.769)
    1. (a) 216
    2. (b) 15
    3. (c) 5/72 (0.0694)
    4. (d) 30

Section B: long questions

    1. (a) 6/13 and 8/13
    2. (b) 4/13 (0.308)
    3. (c) 48/91 (0.527)
    4. (d) 8/13 (0.615)
    5. (e) 11/13 (0.846)
    1. (a) x = 10
    2. (b) 9/20 (0.45)
    3. (c) 13/31 (0.419)
    4. (d) 67/80 (0.838)
    5. (e) 41/158 (0.259)
    6. (f) 12/25 (0.48)
    1. (a) 0.22
    2. (b) 0.48
    3. (c) 11/24 (0.458)
    4. (d) No, because P(R ∩ S) = 0.22 ≠ 0
    5. (e) 0.264 ≠ 0.22
    6. (f) 0.999
    1. (a) 0.97 and 1/3
    2. (b) 1/60 (0.0167)
    3. (c) 0.04
    4. (d) 5/12 (0.417)
    5. (e) 0.142 (0.141558)
    6. (f) 0.151 (0.150653)

jmaths.xyz · AI SL · 13.1.10 Unit review