Probability (part 5) | Summary and Q&A

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May 3, 2008
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Khan Academy
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Probability (part 5)

TL;DR

The video explains the probability of rolling a 7 in Monopoly using two six-sided dice.

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Key Insights

  • 🤣 Rolling a 7 in Monopoly using two six-sided dice has a probability of 1/6.
  • 🆘 The grid representation helps visualize all possible outcomes.
  • 🤣 The favorable outcomes for rolling a 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).

Transcript

let's say we're playing monopoly with two six sided dice and I say what is the probability that I will get a 7? when I add up the two rolls of the dice so I drew this grid here:and this grid esentially represents all the outcomes I can get with the two dice where on the top row that is the outcomeI can get on dice one: I can get a 1, a 2, a 3, a 4,... Read More

Questions & Answers

Q: How can the probability of rolling a 7 in Monopoly be calculated?

The probability can be calculated by finding the number of favorable outcomes (sum of two dice equal to 7) and dividing it by the total number of possible outcomes (6 x 6 = 36).

Q: What are the favorable outcomes of rolling a 7?

The favorable outcomes are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1) - a total of six outcomes.

Q: What is the probability of rolling a 7 in Monopoly?

The probability is calculated as 6 favorable outcomes divided by 36 total outcomes, which equals 1/6 or approximately 0.167.

Q: Can the grid be used to calculate probabilities of other outcomes?

Yes, the grid can be used to calculate the probabilities of various outcomes by counting the number of favorable outcomes and dividing by the total number of possible outcomes.

Summary & Key Takeaways

  • The content discusses the probability of rolling a 7 in Monopoly using two six-sided dice.

  • A grid is used to represent all the possible outcomes of the two dice rolls.

  • The top row represents the outcomes of the first dice, while the second row represents the outcomes of the second dice.

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