# ABC Welcome to the Monty 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.

## Presentation on theme: "ABC Welcome to the Monty 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."— Presentation transcript:

ABC Welcome to the Monty 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.

ABC I select DOOR A

A BC SELECTED DOOR

A BC C The contestant selected door A. Monty Hall (who knows where The car is) then opened door C. We now know the car is either behind A or B.

A BC SELECTED DOOR C At this point, the contestant is given the option to SWITCH DOORS.

A BC 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, lets outline ALL THE POSSIBILITIES

B C A B A C C A B B C A B C A B C A

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice He LOSES

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice He LOSES He WINS

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice He LOSES He WINS He WINS

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice He LOSES He WINS He WINS He WINS

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice He LOSES He WINS He WINS He WINS He LOSES

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice He LOSES He WINS He WINS He WINS He LOSES He WINS

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice He LOSES He WINS He WINS He WINS He WINS He LOSES He WINS

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice He LOSES He WINS He WINS He WINS He WINS He LOSES He WINS He WINS

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice He LOSES He WINS He WINS He WINS He WINS He LOSES He LOSES He WINS He WINS

B C A A C CA B B C A B C A B C A If contestant SWITCHES from original choice He LOSES He WINS He WINS He WINS He WINS He LOSES He LOSES He WINS He WINS

If contestant SWITCHES from original choice He LOSES He WINS He WINS He WINS He WINS He LOSES He LOSES He WINS He WINS He WINS 6 times out of 9

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