Cards, From Hand, Pick Two Ordered, To Equation (Level 2)

This math topic focuses on calculating probability with multiple events involving drawing cards in a specific order. The problems ask students to compute the probabilities of drawing particular sequences of cards, such as "2, 3," "4, 5," and "Jack, Queen," and to express these probabilities as equations. Students are challenged to use counting principles and probability rules to find the likelihood of these ordered scenarios, enhancing their understanding of combinations and permutations within the context of card games. Each question provides multiple choice answers, expressed in equation form using fractions.

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 Ordered, To Equation Worksheet

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Probability - Cards, From Hand, Pick Two Ordered, To Equation
1
Calculate the probability of drawing Queen, King, Ace in order. Show as an equation
An svg image showing a math problem
a A LaTex expression showing 1 over 7 times 1 over 6
b A LaTex expression showing 1 over 5 times 1 over 4 times 1 over 3
c A LaTex expression showing 2 over 3 times 2 over 2 times 2 over 2 times 2 over 2
d A LaTex expression showing 2 over 3 times 2 over 2
e A LaTex expression showing 1 over 3 times 1 over 2 times 1 over 2 times 1 over 2
2
Calculate the probability of drawing 3, 4, 5, 6, 7 in order. Show as an equation
An svg image showing a math problem
a A LaTex expression showing 1 over 7 times 1 over 6 times 1 over 5 times 1 over 4 times 1 over 3
b A LaTex expression showing 2 over 8 times 2 over 7 times 2 over 6 times 2 over 5 times 2 over 4 times 2 over 3 times 2 over 2
c A LaTex expression showing 2 over 8 times 2 over 7 times 2 over 6 times 2 over 5 times 2 over 4
d A LaTex expression showing 3 over 6 times 3 over 5 times 3 over 4 times 3 over 3 times 3 over 2 times 3 over 2
e A LaTex expression showing 2 over 9 times 2 over 8 times 2 over 7 times 2 over 6
3
Calculate the probability of drawing 3, 4, 5 in order. Show as an equation
An svg image showing a math problem
a A LaTex expression showing 3 over 3 times 3 over 2 times 3 over 2
b A LaTex expression showing 2 over 3 times 2 over 2 times 2 over 2 times 2 over 2
c A LaTex expression showing 2 over 4 times 2 over 3
d A LaTex expression showing 3 over 4 times 3 over 3 times 3 over 2
e A LaTex expression showing 1 over 5 times 1 over 4 times 1 over 3
4
Calculate the probability of drawing 9, 10, Jack, Queen in order. Show as an equation
An svg image showing a math problem
a A LaTex expression showing 3 over 9 times 3 over 8
b A LaTex expression showing 3 over 8 times 3 over 7 times 3 over 6
c A LaTex expression showing 2 over 6 times 2 over 5 times 2 over 4 times 2 over 3 times 2 over 2
d A LaTex expression showing 1 over 7 times 1 over 6 times 1 over 5 times 1 over 4
e A LaTex expression showing 3 over 7 times 3 over 6 times 3 over 5 times 3 over 4
5
Calculate the probability of drawing Ace, 2, 3 in order. Show as an equation
An svg image showing a math problem
a A LaTex expression showing 2 over 7 times 2 over 6 times 2 over 5 times 2 over 4
b A LaTex expression showing 1 over 6 times 1 over 5 times 1 over 4
c A LaTex expression showing 3 over 5 times 3 over 4 times 3 over 3 times 3 over 2 times 3 over 2
d A LaTex expression showing 3 over 4 times 3 over 3 times 3 over 2 times 3 over 2
e A LaTex expression showing 1 over 8 times 1 over 7
6
Calculate the probability of drawing 5, 6, 7, 8 in order. Show as an equation
An svg image showing a math problem
a A LaTex expression showing 3 over 5 times 3 over 4
b A LaTex expression showing 2 over 5 times 2 over 4
c A LaTex expression showing 1 over 9 times 1 over 8 times 1 over 7
d A LaTex expression showing 2 over 9 times 2 over 8
e A LaTex expression showing 1 over 7 times 1 over 6 times 1 over 5 times 1 over 4
7
Calculate the probability of drawing 4, 5 in order. Show as an equation
An svg image showing a math problem
a A LaTex expression showing 2 over 9 times 2 over 8 times 2 over 7 times 2 over 6
b A LaTex expression showing 1 over 5
c A LaTex expression showing 2 over 5
d A LaTex expression showing 2 over 8 times 2 over 7
e A LaTex expression showing 1 over 7 times 1 over 6
8
Calculate the probability of drawing Jack, Queen in order. Show as an equation
An svg image showing a math problem
a A LaTex expression showing 3 over 4 times 3 over 3
b A LaTex expression showing 1 over 4 times 1 over 3
c A LaTex expression showing 3 over 6 times 3 over 5 times 3 over 4 times 3 over 3
d A LaTex expression showing 1 over 2
e A LaTex expression showing 3 over 6 times 3 over 5 times 3 over 4