MHB Calculating Probability of Consonant and Vowel Tiles with Blind Selection Method

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SUMMARY

The discussion focuses on calculating the probability of drawing consonant and vowel tiles in a game scenario involving blind selection without replacement. Specifically, it addresses the probability of a tile being worth 3 points given it is a consonant and the probability of the second tile being a vowel after the first tile drawn is a consonant. Key concepts include the total number of consonant tiles, the distribution of point values, and the implications of drawing without replacement, similar to the Urn problem in probability theory.

PREREQUISITES
  • Understanding of basic probability concepts
  • Familiarity with combinatorial counting methods
  • Knowledge of conditional probability
  • Experience with problems involving drawing without replacement
NEXT STEPS
  • Study the Urn problem in probability theory
  • Learn about conditional probability and its applications
  • Explore combinatorial counting techniques for probability calculations
  • Practice problems involving drawing tiles or cards without replacement
USEFUL FOR

This discussion is beneficial for students and enthusiasts of probability theory, game designers, and educators looking to enhance their understanding of conditional probability in practical scenarios.

Nate Learning
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We have this picture and the questing is:
What is the probability the tile is worth 3
points given the tile is a consonant?

and
A player selects two tiles blindly without replacement. What is the probability the
second tile is a vowel given the first tile is a consonant?

Is this like the Urn example with ball replacement? would I solve it the same way? any examples would be nice. Thank you
probablitysel.PNG
 
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How many tiles with consonants are there? How many of those are worth 3 points?

If a player selects one of the 10 tiles, how many are left? If the tile selected was a consonant, how many of the tiles left are vowels?
 

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