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

Probability: exam review Exam review Answers

Section A: short questions

    1. (a) 3/8 (0.375)
    2. (b) 387/512 (0.756)
    3. (c) 75
    4. (d) 9/20 (0.45)
    1. (a) 9
    2. (b) 5/12 (0.417)
    3. (c) 43/60 (0.717)
    1. (a) 3/32 (0.0938)
    2. (b) 5/32 (0.156)
    3. (c) 40
    1. (a) 23, 11 and 26
    2. (b) 11/118 (0.0932)
    3. (c) 1/4 (0.25)
    4. (d) Not independent: 0.181 ≠ 0.153
    1. (a) 0.13
    2. (b) No, because P(A ∩ B) = 0.13 ≠ 0
    3. (c) 0.35
    4. (d) 0.18
    1. (a) 20
    2. (b) 9/19 (0.474)
    3. (c) 20/31 (0.645)
    1. (a) 3/8 (0.375)
    2. (b) 3/7 (0.429)
    3. (c) 1/2 (0.5)
    1. (a) 0.4
    2. (b) 0.49
    3. (c) P(S) × P(T) = 0.45 × 0.4 = 0.18 = P(S ∩ T), so they are independent
    1. (a) 7/15 (0.467)
    2. (b) 5/7 (0.714)
    1. (a) 216
    2. (b) 10
    3. (c) 5/108 (0.0463)
    4. (d) 25

Section B: long questions

    1. (a) 5/11 and 7/11
    2. (b) 7/22 (0.318)
    3. (c) 35/66 (0.53)
    4. (d) 7/11 (0.636)
    5. (e) 37/44 (0.841)
    1. (a) x = 7
    2. (b) 17/35 (0.486)
    3. (c) 9/16 (0.562)
    4. (d) 53/70 (0.757)
    5. (e) 6/23 (0.261)
    6. (f) 13/32 (0.406)
    1. (a) 0.18
    2. (b) 0.37
    3. (c) 18/37 (0.486)
    4. (d) No, because P(M ∩ D) = 0.18 ≠ 0
    5. (e) 0.222 ≠ 0.18
    6. (f) 0.991
    1. (a) 0.9 and 1/3
    2. (b) 0.1
    3. (c) 0.2
    4. (d) 0.5
    5. (e) 0.384
    6. (f) 0.488

jmaths.xyz · AI SL · 13.1.10 Unit review