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

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.

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

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

An svg image showing a math problem

What's the chance of drawing three 2s from this set? Show in nCm notation.

a $A LaTex expression showing \frac{ sub 6 \text{C} sub 5 }{ sub 3 \text{C} sub 6 }$

b $A LaTex expression showing \frac{ sub 4 \text{P} sub 3 }{ sub 6 \text{P} sub 3 }$

c $A LaTex expression showing \frac{ sub 3 \text{C} sub 4 }{ sub 6 \text{B} sub 3 }$

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

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

f $A LaTex expression showing \frac{ sub 3 \text{C} sub 2 }{ sub 8 \text{C} sub 2 }$

An svg image showing a math problem

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

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

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

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

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

An svg image showing a math problem

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

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

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

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

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

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

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

An svg image showing a math problem

What's the chance of drawing two 5s from this set? Show in nCm notation.

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

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

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

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

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

f $A LaTex expression showing \frac{ sub 3 \text{B} sub 2 }{ sub 6 \text{R} sub 2 }$

An svg image showing a math problem

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

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

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

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

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

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

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 8s from this set? Show in nCm notation.

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

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

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

d $A LaTex expression showing \frac{ sub 6 \text{C} sub 2 }{ sub 5 \text{P} sub 2 }$

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

f $A LaTex expression showing \frac{ sub 6 \text{C} sub 4 }{ sub 2 \text{C} sub 5 }$

An svg image showing a math problem

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

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

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

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

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

e $A LaTex expression showing \frac{ sub 2 \text{C} sub 3 }{ sub 8 \text{C} sub 2 }$

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

An svg image showing a math problem

What's the chance of drawing three 7s from this set? Show in nCm notation.

a $A LaTex expression showing \frac{ sub 4 \text{C} sub 3 }{ sub 5 \text{C} sub 3 }$

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

c $A LaTex expression showing \frac{ sub 4 \text{R} sub 3 }{ sub 3 \text{C} sub 5 }$

d $A LaTex expression showing \frac{ sub 4 \text{P} sub 3 }{ sub 3 \text{C} sub 5 }$

e $A LaTex expression showing \frac{ sub 4 \text{P} sub 3 }{ sub 5 \text{P} sub 3 }$

f $A LaTex expression showing \frac{ sub 4 \text{P} sub 3 }{ sub 5 \text{C} sub 3 }$