Probability - Cards, From Hand, Pick Two Non-Ordered, To nCm Equation (Level 2)

This math topic focuses on calculating probabilities of selecting specific cards from a hand, using combinations expressed in nCm form. The problems involve determining the likelihood of drawing specified counts of a particular card, such as 4s, Jacks, 2s, Hearts, Clubs, and Diamonds. Each question requires the student to compute the probability and express the result as a fraction in binomial coefficient notation, reinforcing skills in probability and combinatorial mathematics.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Cards, From Hand, Pick Two Non-Ordered, To nCm Equation

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Calculate the probability of drawing 2 8s. Show as a fraction in nCm form

Probability - Cards, From Hand, Pick Two Non-Ordered, To nCm Equation Worksheet

Math worksheet on 'Probability - Cards, From Hand, Pick Two Non-Ordered, To nCm Equation (Level 2)'. Part of a broader unit on 'Probability and Statistics - Permutations and Combinations Calculating - Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_permutations_and_combinations_calculation_practice/

An svg image showing a math problem

Calculate the probability of drawing 2 Hearts. Show as a fraction in nCm form

a $A LaTex expression showing \frac{ sub 4 \text{C} sub 4 }{ sub 6 \text{C} sub 4 }$

b $A LaTex expression showing \frac{ sub 2 \text{C} sub 4 }{ sub 2 \text{C} sub 2 }$

c $A LaTex expression showing \frac{ sub 2 \text{C} sub 2 }{ sub 2 \text{C} sub 4 }$

d $A LaTex expression showing \frac{ sub 3 \text{C} sub 2 }{ sub 6 \text{C} sub 2 }$

e $A LaTex expression showing \frac{ sub 2 \text{C} sub 2 }{ sub 4 \text{C} sub 2 }$

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Calculate the probability of drawing 4 5s. Show as a fraction in nCm form

a $A LaTex expression showing \frac{ sub 4 \text{C} sub 6 }{ sub 9 \text{C} sub 6 }$

b $A LaTex expression showing \frac{ sub 4 \text{C} sub 6 }{ sub 4 \text{C} sub 4 }$

c $A LaTex expression showing \frac{ sub 4 \text{P} sub 4 }{ sub 6 \text{P} sub 4 }$

d $A LaTex expression showing \frac{ sub 6 \text{C} sub 4 }{ sub 4 \text{C} sub 4 }$

e $A LaTex expression showing \frac{ sub 4 \text{C} sub 4 }{ sub 6 \text{C} sub 4 }$

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Calculate the probability of drawing 3 3s. Show as a fraction in nCm form

a $A LaTex expression showing \frac{ sub 3 \text{C} sub 3 }{ sub 3 \text{C} sub 6 }$

b $A LaTex expression showing \frac{ sub 3 \text{P} sub 3 }{ sub 6 \text{P} sub 3 }$

c $A LaTex expression showing \frac{ sub 3 \text{C} sub 6 }{ sub 3 \text{C} sub 3 }$

d $A LaTex expression showing \frac{ sub 3 \text{C} sub 3 }{ sub 6 \text{C} sub 3 }$

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Calculate the probability of drawing 3 Clubs. Show as a fraction in nCm form

a $A LaTex expression showing \frac{ sub 3 \text{C} sub 3 }{ sub 6 \text{C} sub 3 }$

b $A LaTex expression showing \frac{ sub 3 \text{C} sub 3 }{ sub 9 \text{C} sub 3 }$

c $A LaTex expression showing \frac{ sub 6 \text{C} sub 3 }{ sub 3 \text{C} sub 3 }$

d $A LaTex expression showing \frac{ sub 3 \text{P} sub 3 }{ sub 6 \text{P} sub 3 }$

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Calculate the probability of drawing 2 Kings. Show as a fraction in nCm form

a $A LaTex expression showing \frac{ sub 2 \text{C} sub 2 }{ sub 2 \text{C} sub 4 }$

b $A LaTex expression showing \frac{ sub 2 \text{C} sub 2 }{ sub 4 \text{C} sub 2 }$

c $A LaTex expression showing \frac{ sub 2 \text{C} sub 4 }{ sub 2 \text{C} sub 2 }$

d $A LaTex expression showing \frac{ sub 4 \text{C} sub 2 }{ sub 2 \text{C} sub 2 }$

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Calculate the probability of drawing 3 7s. Show as a fraction in nCm form

a $A LaTex expression showing \frac{ sub 4 \text{C} sub 3 }{ sub 9 \text{C} sub 3 }$

b $A LaTex expression showing \frac{ sub 3 \text{C} sub 3 }{ sub 6 \text{C} sub 3 }$

c $A LaTex expression showing \frac{ sub 6 \text{C} sub 3 }{ sub 3 \text{C} sub 3 }$

d $A LaTex expression showing \frac{ sub 3 \text{C} sub 3 }{ sub 3 \text{C} sub 6 }$

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Calculate the probability of drawing 3 6s. Show as a fraction in nCm form

a $A LaTex expression showing \frac{ sub 5 \text{C} sub 4 }{ sub 8 \text{C} sub 4 }$

b $A LaTex expression showing \frac{ sub 3 \text{C} sub 3 }{ sub 6 \text{C} sub 3 }$

c $A LaTex expression showing \frac{ sub 4 \text{C} sub 3 }{ sub 8 \text{C} sub 3 }$

d $A LaTex expression showing \frac{ sub 6 \text{C} sub 3 }{ sub 3 \text{C} sub 3 }$