Try It Now
Work these exercises to see how well you understand this material.
Solutions

 0.6
 0.4
 not independent

 0.22
 0.81
 0.27

 0
 0

 0.5
 0.4
 0.6

 0.25
 0.33
 0
 0.25

 P(A) = 0.3, P(R) = 0.4, P(A ∩ R) = 0.12
 independent
 without computation 0.3

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

 0.25
 0.02

 0.5
 0.57
 0.875
 0.75

 0.4
 0.43
 0.38

 0.15
 0.14
 0.25
 not independent
 0.0375
 0.931
 0

 0.36
 0.72