Probability Concepts from Cardano's Dice Games

What was Cardano's main advantage in gambling?

• He relied on luck.

• He used mathematical calculations.

• He had a special set of dice.

• He consulted fortune tellers.

What is the probability of rolling a specific number on a single die?

• 1/2

• 1/3

• 1/6

• 1/12

What is the term for the set of all possible outcomes in a probability experiment?

• Event space

• Outcome space

• Sample space

• Probability space

How many possible outcomes are there when rolling two dice?

• 12

• 24

• 48

• 36

What is the probability of rolling a pair with two dice?

• 1/6

• 1/3

• 1/12

• 1/2

How did Cardano's opponents place their bets?

• By observing previous outcomes

• Using hunches and lucky numbers

• By consulting experts

• Based on mathematical calculations

How many total outcomes are there when rolling three dice?

• 108

• 72

• 216

• 36

What is the probability of rolling three 1's with three dice?

• 1/108

• 1/216

• 1/72

• 1/36

What does Cardano's method of calculating probability rely on?

• Magic

• Divine intervention

• Mathematics

• Superstition

What is the key takeaway from Cardano's approach to probability?

• Luck is more important than skill.

• Probability is based on divine intervention.

• Superstition can influence outcomes.

• Probability calculations are based on mathematics.