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Probability - 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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Cards, From Hand, Pick Two Non-Ordered, To Description of Equation

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


Calculate the probability of drawing 4 9s. Show as a description of the equation needed

99Q993P(4 9s)

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

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Math worksheet on 'Probability - Cards, From Hand, Pick Two Non-Ordered, To Description of Equation (Level 2)'. 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/
1
An svg image showing a math problem
Calculate the probability of drawing 2 Kings. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 2 cards from 4}}{\text{ways to draw 2 Kings from 2 options}}
b A LaTex expression showing \frac{\text{ways to draw 2 Kings from 2 options}}{\text{ways to draw 2 cards from 4}}
c A LaTex expression showing \frac{\text{ways to draw 2 Kings from 2 options}}{\text{ways to order 4 cards}}
2
An svg image showing a math problem
Calculate the probability of drawing 2 4s. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 2 4s from 2 options}}{\text{ways to order 4 cards}}
b A LaTex expression showing \frac{\text{ways to draw 2 4s from 2 options}}{\text{ways to draw 2 cards from 4}}
c A LaTex expression showing \frac{\text{ways to draw 2 cards from 4}}{\text{ways to draw 2 4s from 2 options}}
3
An svg image showing a math problem
Calculate the probability of drawing 2 Hearts. 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 Hearts from 2 options}}
b A LaTex expression showing \frac{\text{ways to draw 2 Hearts from 2 options}}{\text{ways to order 5 cards}}
c A LaTex expression showing \frac{\text{ways to draw 2 Hearts from 2 options}}{\text{ways to draw 2 cards from 5}}
4
An svg image showing a math problem
Calculate the probability of drawing 5 5s. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 5 5s from 5 options}}{\text{ways to order 7 cards}}
b A LaTex expression showing \frac{\text{ways to draw 5 5s from 5 options}}{\text{ways to draw 5 cards from 7}}
c A LaTex expression showing \frac{\text{ways to draw 5 cards from 7}}{\text{ways to draw 5 5s from 5 options}}
5
An svg image showing a math problem
Calculate the probability of drawing 2 Queens. 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 Queens from 2 options}}
b A LaTex expression showing \frac{\text{ways to draw 2 Queens from 2 options}}{\text{ways to draw 2 cards from 5}}
c A LaTex expression showing \frac{\text{ways to draw 2 Queens from 2 options}}{\text{ways to order 5 cards}}
6
An svg image showing a math problem
Calculate the probability of drawing 3 Kings. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 3 Kings from 3 options}}{\text{ways to order 5 cards}}
b A LaTex expression showing \frac{\text{ways to draw 3 Kings from 3 options}}{\text{ways to draw 3 cards from 5}}
c A LaTex expression showing \frac{\text{ways to draw 3 cards from 5}}{\text{ways to draw 3 Kings from 3 options}}
7
An svg image showing a math problem
Calculate the probability of drawing 3 8s. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 3 8s from 3 options}}{\text{ways to draw 3 cards from 5}}
b A LaTex expression showing \frac{\text{ways to draw 3 cards from 5}}{\text{ways to draw 3 8s from 3 options}}
c A LaTex expression showing \frac{\text{ways to draw 3 8s from 3 options}}{\text{ways to order 5 cards}}