ClearAll[Unload, Load, Spin, Fire]
Unload[] := ConstantArray[False, 6]
Load[state_List] := Module[{s = state},
  While[s[[2]],
   s = RotateRight[s, 1]
   ];
  s[[2]] = True;
  s
  ]
Spin[state_List] := RotateRight[state, RandomInteger[{1, 6}]]
Fire[state_List] := Module[{shot},
  shot = First[state];
  {RotateRight[state, 1], shot}
  ]
ClearAll[LSLSFSF]
LSLSFSF[] := Module[{state, shot},
  state = Unload[];
  state = Load[state];
  state = Spin[state];
  state = Load[state];
  state = Spin[state];
  {state, shot} = Fire[state];
  If[shot,
   Return[True]
   ];
  state = Spin[state];
  {state, shot} = Fire[state];
  If[shot,
   Return[True]
   ];
  Return[False]
  ]
ClearAll[LSLSFF]
LSLSFF[] := Module[{state, shot},
  state = Unload[];
  state = Load[state];
  state = Spin[state];
  state = Load[state];
  state = Spin[state];
  {state, shot} = Fire[state];
  If[shot,
   Return[True]
   ];
  {state, shot} = Fire[state];
  If[shot,
   Return[True]
   ];
  Return[False]
  ]
ClearAll[LLSFSF]
LLSFSF[] := Module[{state, shot},
  state = Unload[];
  state = Load[state];
  state = Load[state];
  state = Spin[state];
  {state, shot} = Fire[state];
  If[shot,
   Return[True]
   ];
  state = Spin[state];
  {state, shot} = Fire[state];
  If[shot,
   Return[True]
   ];
  Return[False]
  ]
ClearAll[LLSFF]
LLSFF[] := Module[{state, shot},
  state = Unload[];
  state = Load[state];
  state = Load[state];
  state = Spin[state];
  {state, shot} = Fire[state];
  If[shot,
   Return[True]
   ];
  {state, shot} = Fire[state];
  If[shot,
   Return[True]
   ];
  Return[False]
  ]
n = 10^5;
Count[Table[LSLSFSF[], n], True]/N[n]
Count[Table[LSLSFF[], n], True]/N[n]
Count[Table[LLSFSF[], n], True]/N[n]
Count[Table[LLSFF[], n], True]/N[n]