An actuary studying the insurance preferences of automobile owners makes the following
conclusions:
(i) An automobile owner is twice as likely to purchase collision coverage as
disability coverage.
(ii) The event that an automobile owner purchases collision coverage is
independent of the event that he or she purchases disability coverage.
(iii) The probability that an automobile owner purchases both collision
and disability coverages is 0.15 .
What is the probability that an automobile owner purchases neither collision nor
disability coverage?