Matrix Values in Rock-Paper-Scissors

The video tutorial explains an advanced version of rock-paper-scissors played by Violet and Lennox, where each combination of shape choices results in different points. The tutorial guides viewers through completing a scoring matrix that shows how many points Violet earns, with negative values indicating points for Lennox. It also discusses how to calculate expected values to determine the best strategy for Violet when Lennox picks shapes at random.

What is the point value for Violet when she wins a round?

• 2 points

• 3 points

• No points

• 1 point

If Lennox wins with rock, how many points does she receive?

• 2 points

• 1 point

• 4 points

• 3 points

In the matrix, what does a negative number indicate?

• Both lose

• Lennox wins

• Violet wins

• It's a tie

What is the matrix value when both players choose the same shape?

• -1

• 2

• 0

• 1

If Violet picks rock and Lennox picks paper, what is the matrix value?

• -1

• 0

• 2

• -2

What is the matrix value when Violet picks scissors and Lennox picks rock?

• 1

• -1

• 3

• -3

How is the expected value calculated when Lennox picks randomly?

• Sum of values

• Product of values

• Average of values

• Difference of values

What is the expected value for Violet when she picks paper?

• 1

• -1/3

• 1/3

• 0

Which shape should Violet choose to maximize her points?

• Scissors

• Rock

• Paper

• Any shape

What might Lennox do if she notices Violet always picks paper?

• Keep picking randomly

• Always pick rock

• Always pick scissors

• Adjust her strategy