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Down arrow? Probability question

  1. Nov 24, 2006 #1


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    A question on my probability problem set reads: If the sequence of events An is non-decreasing (i.e. An is a superset of An+1 for all n), prove the following

    [tex]P[A_n] \downarrow P[\bigcap_{i=0}^\infty A_i][/tex]

    I just need to know what the heck the down arrow means
  2. jcsd
  3. Nov 25, 2006 #2
    I think it means that the probabilities on the left are a non-increasing sequence converging to the number on the right (that's what you have to prove).
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