Clever Counting by 6Zm93B8d

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									     Clever Counting

Investigation 5:
 Wrapping Things
Up
Catching a Bicycle Thief
       Problem 5.1
 You now know as much as the detective
  does about counting combinations and
  calculating probabilities.
   Which pieces of evidence would you
    investigate further? How would you proceed
    with your investigation?
   What questions would you ask the security
    guard, the manager, or someone else
    involved in the case?
   Does the evidence from the second robbery
    clear any of the suspects? Who are your
    suspects now? Why?
Problem 5.1 Follow-up #1
A.   One of the smudged serial numbers
     was UM_ _ _ 7711. The first blank
     represents a letter, the other two are
     numbers. In how many ways can this
     serial number be completed?
B.   The bike at the manager’s home had
     the serial number UMZ567711. Based
     on your findings from A, can you draw
     any conclusions about the manager’s
     guilt or innocence? Explain.
     Problem 5.1 Follow-up #2
A.   Assume that all mountain bikes have serial
     numbers with three letters followed by six
     numbers. How many possible combinations
     are there for the first two letters and the last
     four numbers of the serial number for a
     mountain bike?
B.   What are the chances that the serial number
     on the manager’s bike would contain the
     sequence UM _ _ _ 7711?
C.   Based on your findings, can you draw any
     conclusions about the manager’s guilt or
     innocence? Explain.

								
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