Exploring Probability Through Dice Games

Who wins if the highest number rolled is four?

• The game is replayed

• It's a tie

• Player Two

• Player One

How many total combinations are possible when rolling two dice?

• 42

• 36

• 30

• 24

What is the probability of rolling a six as the highest number?

• 1/36

• 11/36

• 6/36

• 5/36

How many combinations result in a win for player two?

• 14

• 16

• 18

• 20

What demonstrates the independence of dice rolls?

• The color of the dice

• The number of sides on the dice

• The material of the dice

• Each roll not affecting the other

What is the joint probability of both dice showing a number less than five?

• 16/36

• 22/36

• 18/36

• 20/36

What is the chance of player one winning based on the dice rules?

• 56%

• 50%

• 60%

• 44%

Why might actual game outcomes differ from theoretical probabilities?

• Dice bias

• Player skill

• Small sample size

• Incorrect calculations

Over many games, what percentage of games is player two expected to win?

• 44%

• 60%

• 50%

• 56%

What humorous outcome is mentioned at the end of the game explanation?

• A ship rescues them

• The dice are lost

• The island is no longer deserted

• The banana spoils