abc welcome to the monty hall show! behind one of these doors is a shiny new car. behind two of...
TRANSCRIPT
A B C
Welcome to theMonty Hall show!
Behind one of these doors is a shiny new car. Behind two of these doors are goats
Our contestant will select a door.
A B C
I select DOOR A
A B C
SELECTED DOOR
A B C
SELECTED DOOR
C
The contestant selected door A.
Monty Hall (who knows whereThe car is) thenopened door C.
We now know the car is either behind A or B.
A B C
SELECTED DOOR
C
At this point,the contestant is given the option to SWITCH DOORS.
A B C
SELECTED DOOR
C
WOULD IT IMPROVE HIS CHANCES TO SWITCH TO DOOR B?
SHOULD HE STAY WITH DOOR A?
DOES IT MATTER?
At this point,the contestant is given the option to SWITCH DOORS.
WOULD YOU BELIEVE THAT
HE DOUBLES HIS CHANCES
OF WINNING IF HE SWITCHES?
To understand this, let’s outline ALL THE POSSIBILITIES
B CA
BA C
CA B
B CA B CA B CA
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
HeLOSES
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
HeLOSES
HeWINS
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
HeLOSES
HeWINS
HeWINS
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
HeLOSES
HeWINS
HeWINS
HeWINS
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
HeLOSES
HeWINS
HeWINS
HeWINS
HeLOSES
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
HeLOSES
HeWINS
HeWINS
HeWINS
HeLOSES
HeWINS
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
HeLOSES
HeWINS
HeWINS
HeWINS
HeWINS
HeLOSES
HeWINS
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
HeLOSES
HeWINS
HeWINS
HeWINS
HeWINS
HeLOSES
HeWINS
HeWINS
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
HeLOSES
HeWINS
HeWINS
HeWINS
HeWINS
HeLOSES
HeLOSES
HeWINS
HeWINS
B CA
A C
CA B
B CA B CA B CA
If contestant SWITCHES from original choice
HeLOSES
HeWINS
HeWINS
HeWINS
HeWINS
HeLOSES
HeLOSES
HeWINS
HeWINS
If contestant SWITCHES from original choice
HeLOSES
HeWINS
HeWINS
HeWINS
HeWINS
HeLOSES
HeLOSES
HeWINS
HeWINS
He WINS
6 times
out of 9