Probability - Cards, From Hand, Pick Two Non-Ordered, To nCm Equation (Level 1)

This math topic focuses on the calculation of probabilities using combinations (nCm) for various card scenarios in a draw from a deck. It involves picking cards non-ordered and translating this drawing scenario into probability fractions using combination notation. The examples include calculating the likelihood of drawing specific numbers or suits of cards, like 10s, Queens, 6s, and Clubs, among others, and presenting the results in nCm form. This is part of a broader introduction to Probability and Statistics with an emphasis on binomial notation.

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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Calculate the probability of drawing 2 6s. 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 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

Calculate the probability of drawing 2 10s. Show as a fraction in nCm form

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

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

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

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

An svg image showing a math problem

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

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

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

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

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

An svg image showing a math problem

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

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

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

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

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

An svg image showing a math problem

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

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

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

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

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

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

An svg image showing a math problem

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

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

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

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

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

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

An svg image showing a math problem

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

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

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

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

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

An svg image showing a math problem

Calculate the probability of drawing 2 6s. Show as a fraction in nCm form

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

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

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

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

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