### What is probability that any randomly chosen phone is dull

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Suppose cell phones are available in two basic types: Flashy or Dull. Furthermore, suppose cell phone owners fall into two basic categories: Hipsters or Grannies.

Let .55 be the probability of being a Hipster. Also, 40% of cell phones are both Flashy and owned by Hipsters. Finally, if a cell phone is owned by a Granny, the probability of it being Dull is .90

a) What is the probability that a cell phone is both Dull and owned by a Hipster.

b) If a phone is owned by a Hipster, what is the probability it is Flashy.

c) What is the probability that any randomly chosen phone is Dull?

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