Cards, From Hand, Pick Two Non-Ordered, To Description of Equation (Level 2)

This math topic offers practice in calculating probabilities involving combinations of playing cards, emphasizing non-ordered selection and the translation of these scenarios into mathematical equations. Students are required to compute and express the probability of drawing specific sets of cards, such as 2 Queens, 2 Aces, 4 Hearts, 4 Spades, 3 8s, 3 Kings, and 2 2s from a given set of cards. Each problem includes multiple possible equations expressing the solution, enhancing understanding of binomial notation and probability concepts within the context of card games.

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 Description of Equation Worksheet

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Probability - Cards, From Hand, Pick Two Non-Ordered, To Description of Equation
1
An svg image showing a math problem
Calculate the probability of drawing 4 Spades. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 4 Spades from 4 options}}{\text{ways to draw 4 cards from 7}}
b A LaTex expression showing \frac{\text{ways to draw 4 cards from 7}}{\text{ways to draw 4 Spades from 4 options}}
c A LaTex expression showing \frac{\text{ways to draw 4 Spades from 4 options}}{\text{ways to order 7 cards}}
2
An svg image showing a math problem
Calculate the probability of drawing 2 6s. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 2 cards from 6}}{\text{ways to draw 2 6s from 2 options}}
b A LaTex expression showing \frac{\text{ways to draw 2 6s from 2 options}}{\text{ways to order 6 cards}}
c A LaTex expression showing \frac{\text{ways to draw 2 6s from 2 options}}{\text{ways to draw 2 cards from 6}}
3
An svg image showing a math problem
Calculate the probability of drawing 2 8s. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 2 cards from 6}}{\text{ways to draw 2 8s from 2 options}}
b A LaTex expression showing \frac{\text{ways to draw 2 8s from 2 options}}{\text{ways to draw 2 cards from 6}}
c A LaTex expression showing \frac{\text{ways to draw 2 8s from 2 options}}{\text{ways to order 6 cards}}
4
An svg image showing a math problem
Calculate the probability of drawing 4 Clubs. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 4 cards from 7}}{\text{ways to draw 4 Clubs from 4 options}}
b A LaTex expression showing \frac{\text{ways to draw 4 Clubs from 4 options}}{\text{ways to order 7 cards}}
c A LaTex expression showing \frac{\text{ways to draw 4 Clubs from 4 options}}{\text{ways to draw 4 cards from 7}}
5
An svg image showing a math problem
Calculate the probability of drawing 3 10s. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 3 10s from 3 options}}{\text{ways to draw 3 cards from 6}}
b A LaTex expression showing \frac{\text{ways to draw 3 cards from 6}}{\text{ways to draw 3 10s from 3 options}}
c A LaTex expression showing \frac{\text{ways to draw 3 10s from 3 options}}{\text{ways to order 6 cards}}
6
An svg image showing a math problem
Calculate the probability of drawing 3 Diamonds. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 3 Diamonds from 3 options}}{\text{ways to draw 3 cards from 6}}
b A LaTex expression showing \frac{\text{ways to draw 3 cards from 6}}{\text{ways to draw 3 Diamonds from 3 options}}
c A LaTex expression showing \frac{\text{ways to draw 3 Diamonds from 3 options}}{\text{ways to order 6 cards}}
7
An svg image showing a math problem
Calculate the probability of drawing 2 Diamonds. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 2 cards from 5}}{\text{ways to draw 2 Diamonds from 2 options}}
b A LaTex expression showing \frac{\text{ways to draw 2 Diamonds from 2 options}}{\text{ways to order 5 cards}}
c A LaTex expression showing \frac{\text{ways to draw 2 Diamonds from 2 options}}{\text{ways to draw 2 cards from 5}}
8
An svg image showing a math problem
Calculate the probability of drawing 5 Diamonds. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 5 Diamonds from 5 options}}{\text{ways to draw 5 cards from 7}}
b A LaTex expression showing \frac{\text{ways to draw 5 cards from 7}}{\text{ways to draw 5 Diamonds from 5 options}}
c A LaTex expression showing \frac{\text{ways to draw 5 Diamonds from 5 options}}{\text{ways to order 7 cards}}