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Combining Transformations

Does changing the order of transformations always/sometimes/never produce the same transformation?

A Chance to Win?

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

If you start by choosing a black card and then choose two red cards this will be the state of play at the half-way stage:

half way through
Keep a record of the outcome from laying down the cards in different orders.
What do you notice?

How is your total amount of money affected by a win?
How is it affected by a loss?