Probability of getting a 10 or a 11 when a pair of dice are rolled?

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SUMMARY

The probability of rolling a total of 10 or 11 with a pair of six-sided dice is calculated by adding the individual probabilities of each outcome. The total combinations for rolling a 10 are 3 (4+6, 5+5, 6+4) and for rolling an 11 are 2 (5+6, 6+5). Therefore, the probability of rolling a 10 is 3/36 and for 11 is 2/36, leading to a combined probability of 5/36 for either outcome. Utilizing a tree diagram can effectively illustrate these probabilities.

PREREQUISITES
  • Understanding of basic probability concepts
  • Familiarity with six-sided dice mechanics
  • Knowledge of tree diagrams for probability visualization
  • Ability to perform simple fraction calculations
NEXT STEPS
  • Study the concept of probability distributions in dice games
  • Learn how to create and interpret tree diagrams for probability
  • Explore advanced probability techniques such as combinatorial analysis
  • Investigate the application of probability in game theory
USEFUL FOR

Students learning probability, educators teaching mathematics, and game developers interested in probability mechanics.

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What is the probability of getting a 10 or a 11 when a pair of dice are rolled?
 
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Since we're looking for 10 OR 11, it means we just need to add the probabilities of finding each separately. So what are the odds of finding a 10? And then what about 11?

Depending on how you've been taught so far to do probabilities, one way would be to use a tree diagram.
 

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