Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. Let C be the event that at least two doors are unlocked. List the outcomes of C. [Let "L" designate "locked" and U" designate "unlocked".]
A){LLL, UUU, LLU, LUL, ULL}
B){LLU, LUL, ULL, LUU, ULU, UUL}
C){LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU}
D)None of these.

Question

Quizplus · Accepted Answer

The event C is that at least two doors are unlocked. This means that there are three possibilities:1) All three doors are unlocked (UUU).2) Two doors are unlocked and one door is locked (LLU, LUL, ULL, ULU, UUL).3) One door is unlocked and two doors are locked (LUU).So, the outcomes of C are {LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU}.

Nanette Must Pass Through Three Doors as She Walks from Her