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

This math topic focuses on calculating probabilities involving playing cards, using non-ordered selections and presenting answers as fractions. The problems typically involve calculating the probability of drawing specific combinations of cards (like two Queens, three Aces, etc) from a typical deck. This is part of a broader unit on probability foundations within the field of probability and statistics. The exercises are designed to help understand and apply basic principles of probability through card game scenarios. Each question provides multiple fraction answers, emphasizing the computational aspect of the probability in real-world contexts.

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 Fraction Worksheet

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Probability - Cards, From Hand, Pick Two Non-Ordered, To Fraction
1
An svg image showing a math problem
Calculate the probability of drawing 4 Aces. Show as a fraction
a A LaTex expression showing 37 over 376
b A LaTex expression showing 24 over 360
c A LaTex expression showing 32 over 343
d A LaTex expression showing 23 over 375
e A LaTex expression showing 36 over 354
2
An svg image showing a math problem
Calculate the probability of drawing 2 3s. Show as a fraction
a A LaTex expression showing 2 over 30
b A LaTex expression showing 5 over 0
c A LaTex expression showing 3 over 27
d A LaTex expression showing 3 over 46
e A LaTex expression showing 2 over 57
3
An svg image showing a math problem
Calculate the probability of drawing 4 Diamonds. Show as a fraction
a A LaTex expression showing 23 over 349
b A LaTex expression showing 37 over 352
c A LaTex expression showing 31 over 347
d A LaTex expression showing 24 over 360
e A LaTex expression showing 33 over 346
4
An svg image showing a math problem
Calculate the probability of drawing 3 Spades. Show as a fraction
a A LaTex expression showing 6 over 60
b A LaTex expression showing 14 over 58
c A LaTex expression showing 8 over 54
d A LaTex expression showing 20 over 74
e A LaTex expression showing 18 over 58
5
An svg image showing a math problem
Calculate the probability of drawing 4 Spades. Show as a fraction
a A LaTex expression showing 24 over 360
b A LaTex expression showing 36 over 387
c A LaTex expression showing 26 over 343
d A LaTex expression showing 27 over 357
e A LaTex expression showing 33 over 350
6
An svg image showing a math problem
Calculate the probability of drawing 2 8s. Show as a fraction
a A LaTex expression showing 12 over 40
b A LaTex expression showing 10 over 28
c A LaTex expression showing 13 over 26
d A LaTex expression showing 2 over 20
e A LaTex expression showing 9 over 11
7
An svg image showing a math problem
Calculate the probability of drawing 4 Spades. Show as a fraction
a A LaTex expression showing 34 over 834
b A LaTex expression showing 24 over 840
c A LaTex expression showing 36 over 827
d A LaTex expression showing 19 over 858
e A LaTex expression showing 24 over 852
8
An svg image showing a math problem
Calculate the probability of drawing 2 Hearts. Show as a fraction
a A LaTex expression showing 1 over 56
b A LaTex expression showing 2 over 30
c A LaTex expression showing 2 over 43
d A LaTex expression showing 2 over 44
e A LaTex expression showing 0 over 35