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.
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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.
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What is the probability of picking 2 vowels from this set of 6 tiles?
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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.
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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
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Which is 3 over 15, or 1 over 5.