Let's Make a Deal

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


HeLOSES

B CA

A C

CA B

B CA B CA B CA


HeLOSES

HeWINS

B CA

A C

CA B

B CA B CA B CA


HeLOSES

HeWINS

HeWINS

B CA

A C

CA B

B CA B CA B CA


HeLOSES

HeWINS

HeWINS

HeWINS

B CA

A C

CA B

B CA B CA B CA


HeLOSES

HeWINS

HeWINS

HeWINS

HeLOSES

B CA

A C

CA B

B CA B CA B CA


HeLOSES

HeWINS

HeWINS

HeWINS

HeLOSES

HeWINS

B CA

A C

CA B

B CA B CA B CA


HeLOSES

HeWINS

HeWINS

HeWINS

HeWINS

HeLOSES

HeWINS

B CA

A C

CA B

B CA B CA B CA


HeLOSES

HeWINS

HeWINS

HeWINS

HeWINS

HeLOSES

HeWINS

HeWINS

B CA

A C

CA B

B CA B CA B CA


HeLOSES

HeWINS

HeWINS

HeWINS

HeWINS

HeLOSES

HeLOSES

HeWINS

HeWINS

B CA

A C

CA B

B CA B CA B CA


HeLOSES

HeWINS

HeWINS

HeWINS

HeWINS

HeLOSES

HeLOSES

HeWINS

HeWINS


HeLOSES

HeWINS

HeWINS

HeWINS

HeWINS

HeLOSES

HeLOSES

HeWINS

HeWINS

He WINS

6 times

out of 9

Documents

Let's Make a Deal