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

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.

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

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

An svg image showing a math problem

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

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

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

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

An svg image showing a math problem

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

a $A LaTex expression showing \frac{ sub 2 \text{P} sub 2 }{ sub 5 \text{P} sub 2 }$

b $A LaTex expression showing \frac{ sub 5 \text{C} sub 2 }{ sub 2 \text{C} sub 2 }$

c $A LaTex expression showing \frac{ sub 2 \text{C} sub 2 }{ sub 5 \text{C} sub 2 }$

d $A LaTex expression showing \frac{ sub 2 \text{C} sub 5 }{ sub 2 \text{C} sub 2 }$

An svg image showing a math problem

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

a $A LaTex expression showing \frac{ sub 5 \text{C} sub 4 }{ sub 7 \text{C} sub 4 }$

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

c $A LaTex expression showing \frac{ sub 4 \text{C} sub 6 }{ sub 7 \text{C} sub 6 }$

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

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

An svg image showing a math problem

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

a $A LaTex expression showing \frac{ sub 4 \text{C} sub 4 }{ sub 7 \text{C} sub 4 }$

b $A LaTex expression showing \frac{ sub 4 \text{P} sub 4 }{ sub 7 \text{P} sub 4 }$

c $A LaTex expression showing \frac{ sub 4 \text{C} sub 4 }{ sub 4 \text{C} sub 7 }$

d $A LaTex expression showing \frac{ sub 6 \text{C} sub 5 }{ sub 9 \text{C} sub 5 }$

e $A LaTex expression showing \frac{ sub 6 \text{C} sub 4 }{ sub 8 \text{C} sub 4 }$

An svg image showing a math problem

Calculate the probability of drawing 3 2s. Show as a fraction in nCm form

a $A LaTex expression showing \frac{ sub 3 \text{P} sub 3 }{ sub 5 \text{P} sub 3 }$

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

c $A LaTex expression showing \frac{ sub 5 \text{C} sub 3 }{ sub 3 \text{C} sub 3 }$

d $A LaTex expression showing \frac{ sub 3 \text{C} sub 3 }{ sub 5 \text{C} sub 3 }$

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

An svg image showing a math problem

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

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

b $A LaTex expression showing \frac{ sub 3 \text{C} sub 2 }{ sub 7 \text{C} sub 2 }$

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

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

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

An svg image showing a math problem

Calculate the probability of drawing 4 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 $A LaTex expression showing \frac{ sub 4 \text{C} sub 4 }{ sub 4 \text{C} sub 6 }$

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

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

An svg image showing a math problem

Calculate the probability of drawing 2 4s. Show as a fraction in nCm form

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

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

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

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

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