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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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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 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 draw 2 cards from 5}}
b A LaTex expression showing \frac{\text{ways to draw 2 cards from 5}}{\text{ways to draw 2 4s from 2 options}}
c A LaTex expression showing \frac{\text{ways to draw 2 4s from 2 options}}{\text{ways to order 5 cards}}
2
An svg image showing a math problem
Calculate the probability of drawing 2 Aces. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 2 Aces 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 Aces from 2 options}}
c A LaTex expression showing \frac{\text{ways to draw 2 Aces from 2 options}}{\text{ways to order 4 cards}}
3
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 order 5 cards}}
b A LaTex expression showing \frac{\text{ways to draw 2 cards from 5}}{\text{ways to draw 2 3s from 2 options}}
c A LaTex expression showing \frac{\text{ways to draw 2 3s from 2 options}}{\text{ways to draw 2 cards from 5}}
4
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 order 3 cards}}
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 cards from 3}}{\text{ways to draw 2 Diamonds from 2 options}}
5
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 8s from 2 options}}{\text{ways to order 4 cards}}
b A LaTex expression showing \frac{\text{ways to draw 2 8s 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 8s from 2 options}}
6
An svg image showing a math problem
Calculate the probability of drawing 2 Clubs. Show as a description of the equation needed
a A LaTex expression showing \frac{\text{ways to draw 2 Clubs from 2 options}}{\text{ways to draw 2 cards from 4}}
b A LaTex expression showing \frac{\text{ways to draw 2 Clubs from 2 options}}{\text{ways to order 4 cards}}
c A LaTex expression showing \frac{\text{ways to draw 2 cards from 4}}{\text{ways to draw 2 Clubs from 2 options}}
7
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 cards from 4}}{\text{ways to draw 2 Spades from 2 options}}
b A LaTex expression showing \frac{\text{ways to draw 2 Spades from 2 options}}{\text{ways to draw 2 cards from 4}}
c A LaTex expression showing \frac{\text{ways to draw 2 Spades from 2 options}}{\text{ways to order 4 cards}}
8
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 order 5 cards}}
b A LaTex expression showing \frac{\text{ways to draw 2 cards from 5}}{\text{ways to draw 2 3s from 2 options}}
c A LaTex expression showing \frac{\text{ways to draw 2 3s from 2 options}}{\text{ways to draw 2 cards from 5}}