Probability Counting - Choose N Cards from M, Probability Counting - To nCm Notation (Level 1)

This math topic focuses on probability calculations involving combinations, specifically in the context of drawing cards. It helps students learn how to calculate the chances of drawing specific cards from a deck using binomial notation (nCm notation). Problems include various scenarios like drawing jacks, kings, different numerical cards, etc., and students need to express their answers in terms of combinations, employing the nCm notation to solve the mathematical probability expressions effectively. This is part of a broader introduction to probability and statistics emphasizing binomial notation.

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

Choose N Cards from M, To nCm Notation

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What's the chance of drawing two Kings from this set? Show in nCm notation.

Probability Counting - Choose N Cards from M, Probability Counting - To nCm Notation Worksheet

Math worksheet on 'Probability Counting - Choose N Cards from M, Probability Counting - To nCm Notation (Level 1)'. 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

What's the chance of drawing two 6s from this set? Show in nCm notation.

a $A LaTex expression showing \frac{ sub 4 \text{P} sub 2 }{ sub 2 \text{C} sub 7 }$

b $A LaTex expression showing \frac{ sub 4 \text{P} sub 2 }{ sub 7 \text{P} sub 2 }$

c $A LaTex expression showing \frac{ sub 4 \text{P} sub 2 }{ sub 7 \text{R} sub 2 }$

d $A LaTex expression showing \frac{ sub 4 \text{P} sub 2 }{ sub 7 \text{B} sub 2 }$

e $A LaTex expression showing \frac{ sub 4 \text{C} sub 2 }{ sub 7 \text{C} sub 2 }$

f $A LaTex expression showing \frac{ sub 3 \text{C} sub 2 }{ sub 9 \text{C} sub 4 }$

An svg image showing a math problem

What's the chance of drawing two 8s from this set? Show in nCm notation.

a $A LaTex expression showing \frac{ sub 2 \text{C} sub 4 }{ sub 5 \text{B} sub 2 }$

b $A LaTex expression showing \frac{ sub 2 \text{C} sub 4 }{ sub 5 \text{P} sub 2 }$

c $A LaTex expression showing \frac{ sub 4 \text{C} sub 2 }{ sub 5 \text{C} sub 2 }$

d $A LaTex expression showing \frac{ sub 4 \text{P} sub 2 }{ sub 5 \text{P} sub 2 }$

e $A LaTex expression showing \frac{ sub 4 \text{R} sub 2 }{ sub 5 \text{B} sub 2 }$

f $A LaTex expression showing \frac{ sub 3 \text{C} sub 2 }{ sub 5 \text{R} sub 2 }$

An svg image showing a math problem

What's the chance of drawing two 4s from this set? Show in nCm notation.

a $A LaTex expression showing \frac{ sub 4 \text{C} sub 2 }{ sub 5 \text{C} sub 2 }$

b $A LaTex expression showing \frac{ sub 4 \text{R} sub 2 }{ sub 5 \text{B} sub 2 }$

c $A LaTex expression showing \frac{ sub 4 \text{P} sub 2 }{ sub 5 \text{P} sub 2 }$

d $A LaTex expression showing \frac{ sub 2 \text{C} sub 4 }{ sub 6 \text{C} sub 3 }$

e $A LaTex expression showing \frac{ sub 2 \text{C} sub 4 }{ sub 7 \text{C} sub 2 }$

f $A LaTex expression showing \frac{ sub 2 \text{C} sub 4 }{ sub 5 \text{P} sub 2 }$

An svg image showing a math problem

What's the chance of drawing two Kings from this set? Show in nCm notation.

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

b $A LaTex expression showing \frac{ sub 4 \text{C} sub 2 }{ sub 6 \text{C} sub 2 }$

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

d $A LaTex expression showing \frac{ sub 4 \text{B} sub 2 }{ sub 6 \text{P} sub 2 }$

e $A LaTex expression showing \frac{ sub 5 \text{C} sub 2 }{ sub 6 \text{R} sub 2 }$

f $A LaTex expression showing \frac{ sub 2 \text{C} sub 4 }{ sub 2 \text{C} sub 6 }$

An svg image showing a math problem

What's the chance of drawing two Jacks from this set? Show in nCm notation.

a $A LaTex expression showing \frac{ sub 2 \text{C} sub 3 }{ sub 5 \text{B} sub 2 }$

b $A LaTex expression showing \frac{ sub 4 \text{C} sub 2 }{ sub 5 \text{P} sub 2 }$

c $A LaTex expression showing \frac{ sub 3 \text{C} sub 2 }{ sub 5 \text{C} sub 2 }$

d $A LaTex expression showing \frac{ sub 3 \text{P} sub 2 }{ sub 5 \text{P} sub 2 }$

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

f $A LaTex expression showing \frac{ sub 3 \text{P} sub 2 }{ sub 2 \text{C} sub 5 }$

An svg image showing a math problem

What's the chance of drawing two 6s from this set? Show in nCm notation.

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

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

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

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

e $A LaTex expression showing \frac{ sub 3 \text{B} sub 2 }{ sub 5 \text{C} sub 4 }$

f $A LaTex expression showing \frac{ sub 4 \text{C} sub 2 }{ sub 7 \text{P} sub 2 }$

An svg image showing a math problem

What's the chance of drawing three Jacks from this set? Show in nCm notation.

a $A LaTex expression showing \frac{ sub 4 \text{B} sub 3 }{ sub 7 \text{C} sub 3 }$

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

c $A LaTex expression showing \frac{ sub 3 \text{C} sub 4 }{ sub 7 \text{P} sub 3 }$

d $A LaTex expression showing \frac{ sub 4 \text{P} sub 3 }{ sub 7 \text{P} sub 3 }$

e $A LaTex expression showing \frac{ sub 4 \text{P} sub 3 }{ sub 3 \text{C} sub 7 }$

f $A LaTex expression showing \frac{ sub 4 \text{C} sub 3 }{ sub 7 \text{C} sub 3 }$