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

This math topic focuses on calculating the probability of drawing specified cards in a specific order from a deck. It requires determining the likelihood of sequenced card draws and expressing these probabilities as fractions. Each problem sets up different sequences and asks participants to calculate and select the correct fractional probability among multiple choices, testing skills in both card-based probability and basic fraction operations within the context of multiple events in probability theory.

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 Fraction Worksheet

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Probability - Cards, From Hand, Pick Two Ordered, To Fraction
1
An svg image showing a math problem
Calculate the probability of drawing 5, 6 in order. Show as a fraction
a A LaTex expression showing 14 over 12
b A LaTex expression showing 8 over 10
c A LaTex expression showing 7 over 23
d A LaTex expression showing 1 over 20
e A LaTex expression showing 9 over 10
2
An svg image showing a math problem
Calculate the probability of drawing Queen, King, Ace, 2 in order. Show as a fraction
a A LaTex expression showing 5 over 24
b A LaTex expression showing 1 over 840
c A LaTex expression showing 5 over 7
d A LaTex expression showing 2 over 5
e A LaTex expression showing 12 over 27
3
An svg image showing a math problem
Calculate the probability of drawing Ace, 2 in order. Show as a fraction
a A LaTex expression showing 11 over 9
b A LaTex expression showing 2 over 10
c A LaTex expression showing 5 over 17
d A LaTex expression showing 5 over 7
e A LaTex expression showing 1 over 30
4
An svg image showing a math problem
Calculate the probability of drawing 3, 4, 5 in order. Show as a fraction
a A LaTex expression showing 1 over 210
b A LaTex expression showing 14 over 10
c A LaTex expression showing 6 over 25
d A LaTex expression showing 1 over 25
e A LaTex expression showing 8 over 18
5
An svg image showing a math problem
Calculate the probability of drawing 4, 5 in order. Show as a fraction
a A LaTex expression showing 1 over 24
b A LaTex expression showing 1 over 15
c A LaTex expression showing 1 over 12
d A LaTex expression showing 6 over 15
e A LaTex expression showing 12 over 11
6
An svg image showing a math problem
Calculate the probability of drawing 6, 7 in order. Show as a fraction
a A LaTex expression showing 9 over 17
b A LaTex expression showing 14 over 19
c A LaTex expression showing 5 over 19
d A LaTex expression showing 13 over 19
e A LaTex expression showing 1 over 20
7
An svg image showing a math problem
Calculate the probability of drawing 2, 3, 4 in order. Show as a fraction
a A LaTex expression showing 12 over 5
b A LaTex expression showing 11 over 28
c A LaTex expression showing 1 over 60
d A LaTex expression showing 9 over 16
e A LaTex expression showing 12 over 8
8
An svg image showing a math problem
Calculate the probability of drawing 6, 7 in order. Show as a fraction
a A LaTex expression showing 3 over 16
b A LaTex expression showing 1 over 12
c A LaTex expression showing 11 over 4
d A LaTex expression showing 8 over 5
e A LaTex expression showing 13 over 27