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Calculating N choose M probability with letters

Teaching Transcript

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What is the probability of picking 2 vowels from this set of 6 tiles?

Probability is the count of outcomes we desire, divided by the count of total outcomes. So that's the number of ways to pick 2 vowels out of 3, divided by the number of ways to pick any 2 tiles.

2 vowels out of 3 is expressed as 3 choose 2. 2 tiles out of 6 is expressed as 6 choose 2. So our probability will be 3 choose 2, divided by 6 choose 2

Which is 3 over 15, or 1 over 5.

This math skill involves calculating the probability of selecting a specific number of vowels from a set of letter tiles. It uses combinatorics, specifically the concept of "choose" to determine the number of desirable outcomes divided by the total possible outcomes.

Skill Practice

Calculating the probability of picking vowels from a set of letter tiles

Test your understanding of calculating N choose M probability with letters by practicing it! Work through the below exercises to use it in practice.