Solutions

    1. 0.6
    2. 0.4
    3. not independent

    1. 0.22
    2. 0.81
    3. 0.27

    1. 0
    2. 0

    1. 0.5
    2. 0.4
    3. 0.6

    1. 0.25
    2. 0.33
    3. 0
    4. 0.25

    1. P(A) = 0.3, P(R) = 0.4, P(A ∩ R) = 0.12
    2. independent
    3. without computation 0.3

    1. Insufficient information. The events A and B are not known to be either independent or mutually exclusive.
    2. 0.21
    3. 0

    1. 0.25
    2. 0.02

    1. 0.5
    2. 0.57
    3. 0.875
    4. 0.75

    1. 0.4
    2. 0.43
    3. 0.38

    1. 0.15
    2. 0.14
    3. 0.25
    4. not independent

  12. 0.0375

  13. 0.931

  14. 0

    1. 0.36
    2. 0.72