You’re waiting to board your flight at the airport with 99 other passengers, each with an assigned seat. All but one of the passengers will gladly sit in their designated seat. The only exception is Randall, a scoundrel who refuses to follow the rules. When he boards, he will choose a random, unoccupied seat.
If a rule-following passenger finds someone in their spot, they will choose another one at a random from the remaining unoccupied seats.
What is the probability that the last person to board the plane will sit in their proper seat?
The randomness stops as soon as someone else sits in Randall’s assigned seat. The chances of this happening range from 1 out of 99 to 1 out of 1 (when only one seat remains).
Thus, the probability of the last person sitting in their own seat can be calculated as 1/99 plus the sum of 2 to 98 of the formula 1 / n × (n + 1), which works out to 0.5, or 50%.
So there’s a 50% chance the last passenger will sit in their own seat thanks to Randall for screwing up order and procedure when boarding an aircraft.
The letter E. The series contains all of the letters that rhyme with bee (apologies to any English speakers who pronounce Z as zed instead of zee if this confused you).
Mike, Jimmy, Nader, Kevin, and Larry were the top five finishers in the regional 500-mile race. They drove yellow, orange, green, red and blue cars but not necessarily in that order.
Neither Kevin nor Larry drove the green car.
Kevin finished faster than Mike and Larry.
The blue car finished earlier than Larry’s and Nader’s car.
The yellow car finished faster than the green car and the orange car.
Mike’s and Larry’s car finished ahead of the orange car.
Jimmy’s car finished before the blue and the yellow car.
Who drove what color car and what place did each driver finish?
As a whole, I am both safe and secure.
Behead me, I become a place of meeting.
Behead me again, I am the partner of ready.
Restore me, I become the domain of beasts.
Stable. A table is a place of meeting. Able and ready is a common phrase, and a stable is where beasts reside (beasts of burden, not beasts like the one in Beauty and the Beast who lived in a glorious castle but the west wing was forbidden to enter until Belle…I’ve said too much!).
A boat. Boats are used to get around, they aren’t on the ground, but in the water. They rise and fall with the waves, and if they’re in the air, it may be due to rough seas and you should be careful.