You and Ellie are playing a game, in which first Ellie chooses r numbers out of...

  

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You and Ellie are playing a game, in which first Ellie chooses r numbers out of the set {1,2,...,n}, for 1<r<n, and then you independently choose r numbers out of the same set. What is the probability that: ..... (a) Your set of r chosen numbers do not include consecutive values? (b) Your set of r chosen numbers includes precisely one pair of consecutive values? (c) Given Ellie's selection, your numbers are precisely the same as hers? (d) Given Ellie's selection, there are precisely k, for 1 <k <r, of your numbers that ге match hers? You and Ellie are playing a game, in which first Ellie chooses r numbers out of the set {1,2,...,n}, for 1<r<n, and then you independently choose r numbers out of the same set. What is the probability that: ..... (a) Your set of r chosen numbers do not include consecutive values? (b) Your set of r chosen numbers includes precisely one pair of consecutive values? (c) Given Ellie's selection, your numbers are precisely the same as hers? (d) Given Ellie's selection, there are precisely k, for 1 <k <r, of your numbers that ге match hers?