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Calculating N choose M probability with cards

Teaching Transcript

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What is the probability of picking 2 hearts from this hand of 8 cards?

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 hearts out of 4, divided by the number of ways to pick any 2 cards from 8.

2 hearts out of 4 is expressed as 4 choose 2. 2 cards out of 8 is expressed as 8 choose 2. So our probability will be 4 choose 2, divided by 8 choose 2

Which is 6 over 28, or 3 over 14.

This math skill involves calculating the probability of drawing a specific number of cards of the same suit from a hand of cards. It uses the concept of combinations to determine the desired outcomes and total outcomes, then computes the probability by dividing these values.

Skill Practice

Calculating the probability of picking N of a suit from a set of cards

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