Die rolling probability | Probability and combinatorics | Precalculus | Khan Academy

TL;DR

The probability of rolling doubles on two six-sided dice numbered from 1 to 6 is 1/6.

Transcript

Find the probability of rolling doubles on two six-sided dice numbered from 1 to 6. So when they're talking about rolling doubles, they're just saying, if I roll the two dice, I get the same number on the top of both. So, for example, a 1 and a 1, that's doubles. A 2 and a 2, that is doubles. A 3 and a 3, a 4 and a 4, a 5 and a 5, a 6 and a 6, all ... Read More

Key Insights

• 🤣 Rolling doubles means getting the same number on both dice.
• 🤣 There are 36 possible outcomes when rolling two six-sided dice.
• 🤣 Out of these outcomes, only 6 satisfy the event of rolling doubles.
• 🤣 The probability of rolling doubles is 1/6, as there is only 1 favorable outcome out of 6 total outcomes.
• 👾 Understanding the concept of probability is crucial in calculating the likelihood of specific events in games and experiments.
• 🤣 Rolling doubles is just one example of a specific event that can be calculated using probability.
• 🎲 The sample space for rolling two six-sided dice is determined by the possible outcomes of each individual die.
• 💹 Creating a chart or a grid can help visualize the possible outcomes and calculate the probabilities.

Questions & Answers

Q: What does rolling doubles mean?

Rolling doubles refers to getting the same number on both dice when rolling them simultaneously.

Q: How many possible outcomes are there when rolling two six-sided dice?

There are 36 possible outcomes when rolling two six-sided dice, as each die has 6 possible numbers.

Q: How many outcomes satisfy the event of rolling doubles?

There are 6 outcomes that satisfy the event of rolling doubles, which include rolling 1 and 1, 2 and 2, 3 and 3, 4 and 4, 5 and 5, and 6 and 6.

Q: What is the probability of rolling doubles on two six-sided dice?

The probability of rolling doubles on two six-sided dice is 1/6, which means there is a 1 in 6 chance of rolling doubles.

Summary & Key Takeaways

• Rolling doubles means getting the same number on both dice.

• There are 36 possible outcomes when rolling two six-sided dice.

• Out of these outcomes, 6 satisfy the event of rolling doubles.