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

This math topic involves practicing probability calculations related to drawing cards from a deck. The problems focus on computing the likelihood of drawing two specific cards (like Diamonds, Hearts, Spades, Aces, Clubs, or Kings) from a hand of cards. Each question requires formulating the probability question in terms of mathematical equations to enhance understanding of binomial notation in a probability context. The examples use combinations and ordering principles foundational in probability and statistics, framing the questions in various contexts to underscore different conceptual aspects of such calculations.

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 2 2s. Show as a description of the equation needed

229P(2 2s)

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 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/
1
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 Queens from 2 options}}{\text{ways to draw 2 cards from 4}}
b A LaTex expression showing \frac{\text{ways to draw 2 cards from 4}}{\text{ways to draw 2 Queens from 2 options}}
c A LaTex expression showing \frac{\text{ways to draw 2 Queens from 2 options}}{\text{ways to order 4 cards}}
2
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}}
3
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 3}}{\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 draw 2 cards from 3}}
c A LaTex expression showing \frac{\text{ways to draw 2 Diamonds from 2 options}}{\text{ways to order 3 cards}}
4
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 Hearts from 2 options}}{\text{ways to order 5 cards}}
b A LaTex expression showing \frac{\text{ways to draw 2 cards from 5}}{\text{ways to draw 2 Hearts from 2 options}}
c A LaTex expression showing \frac{\text{ways to draw 2 Hearts from 2 options}}{\text{ways to draw 2 cards from 5}}
5
An svg image showing a math problem
Calculate the probability of drawing 2 Spades. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 2 Spades from 2 options}}{\text{ways to draw 2 cards from 5}}
b A LaTex expression showing \frac{\text{ways to draw 2 cards from 5}}{\text{ways to draw 2 Spades from 2 options}}
c A LaTex expression showing \frac{\text{ways to draw 2 Spades from 2 options}}{\text{ways to order 5 cards}}
6
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 Diamonds from 2 options}}{\text{ways to draw 2 cards from 3}}
b A LaTex expression showing \frac{\text{ways to draw 2 cards from 3}}{\text{ways to draw 2 Diamonds from 2 options}}
c A LaTex expression showing \frac{\text{ways to draw 2 Diamonds from 2 options}}{\text{ways to order 3 cards}}
7
An svg image showing a math problem
Calculate the probability of drawing 2 3s. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 2 3s from 2 options}}{\text{ways to draw 2 cards from 3}}
b A LaTex expression showing \frac{\text{ways to draw 2 3s from 2 options}}{\text{ways to order 3 cards}}
c A LaTex expression showing \frac{\text{ways to draw 2 cards from 3}}{\text{ways to draw 2 3s from 2 options}}