TED-Ed: The last banana: A thought experiment in probability - Leonardo Barichello

The video tutorial explains a dice game played on a desert island, where two players compete for the last banana. The rules are simple: player one wins if the highest number rolled is between one and four, while player two wins if it's five or six. Despite initial appearances, player two has a 56% chance of winning due to the distribution of possible outcomes. The video explores the concept of equiprobable events and demonstrates how to calculate probabilities using combinations and independent events. It emphasizes the randomness of dice rolls and how repeated trials align with theoretical probabilities over time.

In the dice game, what determines a win for player one?

• The sum of the dice is even.

• The highest number is five or six.

• The highest number is one to four.

• Both dice show the same number.

How many possible combinations are there when rolling two dice?

• 36

• 12

• 24

• 48

What is the probability of player two winning a single game?

• 60%

• 56%

• 50%

• 44%

What is the probability of both dice showing a number between one and four?

• 4 out of 36

• 8 out of 36

• 16 out of 36

• 12 out of 36

Why might the actual results of a few dice games differ from the theoretical probability?

• Due to the skill of the players.

• Because the dice are biased.

• Due to the randomness of each roll.

• Because the rules are not clear.