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

This topic focuses on practicing probability calculations associated with drawing specific card suits from a deck, expressed using binomial notation. The problems entail computing probabilities like drawing two diamonds, two aces, or two 3s, and key skills involve using combinations to determine these probabilities, represented in binomial coefficient (bracket) form. This topic is an introductory module to broader concepts in probability and statistics, specifically targeting binomial notation and calculations.

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

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

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Calculate the probability of drawing 2 5s. Show as a fraction in binomial (bracket) notation

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

Math worksheet on 'Probability - Cards, From Hand, Pick Two Non-Ordered, To Binomial 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 binomial (bracket) notation

a $A LaTex expression showing \frac{{4\choose2}}{{5\choose2}}$

b $A LaTex expression showing \frac{{2\choose2}}{{3\choose2}}$

c $A LaTex expression showing \frac{{2\choose3}}{{2\choose2}}$

d $A LaTex expression showing \frac{{3\choose2}}{{2\choose2}}$

An svg image showing a math problem

Calculate the probability of drawing 2 Clubs. Show as a fraction in binomial (bracket) notation

a $A LaTex expression showing \frac{{2\choose5}}{{2\choose2}}$

b $A LaTex expression showing \frac{{2\choose2}}{{2\choose5}}$

c $A LaTex expression showing \frac{{2\choose2}}{{5\choose2}}$

d $A LaTex expression showing \frac{{5\choose2}}{{2\choose2}}$

An svg image showing a math problem

Calculate the probability of drawing 2 9s. Show as a fraction in binomial (bracket) notation

a $A LaTex expression showing \frac{{2\choose4}}{{2\choose2}}$

b $A LaTex expression showing \frac{{2\choose2}}{{4\choose2}}$

c $A LaTex expression showing \frac{{3\choose4}}{{5\choose4}}$

d $A LaTex expression showing \frac{{3\choose3}}{{6\choose3}}$

An svg image showing a math problem

Calculate the probability of drawing 2 Spades. Show as a fraction in binomial (bracket) notation

a $A LaTex expression showing \frac{{4\choose2}}{{8\choose2}}$

b $A LaTex expression showing \frac{{4\choose2}}{{7\choose2}}$

c $A LaTex expression showing \frac{{2\choose5}}{{2\choose2}}$

d $A LaTex expression showing \frac{{2\choose2}}{{2\choose5}}$

e $A LaTex expression showing \frac{{2\choose2}}{{5\choose2}}$

An svg image showing a math problem

Calculate the probability of drawing 2 3s. Show as a fraction in binomial (bracket) notation

a $A LaTex expression showing \frac{{2\choose4}}{{2\choose2}}$

b $A LaTex expression showing \frac{{4\choose2}}{{2\choose2}}$

c $A LaTex expression showing \frac{{2\choose2}}{{4\choose2}}$

d $A LaTex expression showing \frac{{2\choose2}}{{2\choose4}}$

An svg image showing a math problem

Calculate the probability of drawing 2 Clubs. Show as a fraction in binomial (bracket) notation

a $A LaTex expression showing \frac{{2\choose2}}{{4\choose2}}$

b $A LaTex expression showing \frac{{4\choose2}}{{6\choose2}}$

c $A LaTex expression showing \frac{{2\choose2}}{{2\choose4}}$

d $A LaTex expression showing \frac{{2\choose4}}{{2\choose2}}$

An svg image showing a math problem

Calculate the probability of drawing 2 Hearts. Show as a fraction in binomial (bracket) notation

a $A LaTex expression showing \frac{{2\choose3}}{{2\choose2}}$

b $A LaTex expression showing \frac{{2\choose2}}{{3\choose2}}$

c $A LaTex expression showing \frac{{4\choose2}}{{5\choose2}}$

d $A LaTex expression showing \frac{{3\choose2}}{{2\choose2}}$