Probability and Fairness in Dice Rolling

The video tutorial explores a dice game where Roberto and Jocelyn decide who dusts their apartment based on the sum of two six-sided dice. If the sum is 7, Roberto dusts; if it's 10 or 11, Jocelyn dusts. Otherwise, they roll again. The video demonstrates creating a probability table for all possible outcomes and calculates the probabilities for each scenario. It concludes that the game is not fair, as Roberto has a higher probability of dusting than Jocelyn.

What is the main purpose of Roberto and Jocelyn rolling the dice?

• To see who will pay the rent

• To decide who will cook dinner

• To choose who will do the laundry

• To determine who will dust the apartment

How many sides do the dice used by Roberto and Jocelyn have?

• Ten

• Six

• Eight

• Four

What is the total number of possible outcomes when rolling two six-sided dice?

• 12

• 24

• 48

• 36

How many outcomes result in a sum of 7 when rolling two dice?

• 6

• 5

• 4

• 7

What is the probability that Roberto will dust if the sum is 7?

• 1/6

• 1/7

• 1/5

• 1/4

How many outcomes result in a sum of 10 or 11?

• 6

• 5

• 4

• 3

What is the probability that Jocelyn will dust if the sum is 10 or 11?

• 8/36

• 7/36

• 6/36

• 5/36

Why is the method of deciding who dusts considered unfair?

• Because they both have an equal chance

• Because Roberto has a higher chance of dusting

• Because Jocelyn has a higher chance of dusting

• Because the dice are not fair

What happens if the sum is neither 7, 10, nor 11?

• They flip a coin

• Roberto dusts

• They roll again

• Jocelyn dusts

What is the conclusion about the fairness of the dice rolling method?

• It is fair because both have equal chances

• It is unfair because the dice are biased

• It is fair because Jocelyn has a higher chance

• It is unfair because Roberto has a higher chance