Text this: Every random choice rule is backwards-induction rationalizable

  _____      ___     _    _     ______   _    _   
 |__  //    / _ \\  | || | ||  /_   _// | || | || 
   / //    / //\ \\ | || | ||   -| ||-  | || | || 
  / //__  |  ___  ||| \\_/ ||   _| ||_  | \\_/ || 
 /_____|| |_||  |_|| \____//   /_____//  \____//  
 `-----`  `-`   `-`   `---`    `-----`    `---`