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In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers (1, 2, 3, 4, 5, 6, and 7). Among all the cards of each color, there is exactly one card labeled with each number. The cards in Ms. Q's deck are shown below.

 

Yunseol draws 5 cards from Ms. Q's deck. What is the probability that three cards have the same number?

 Dec 18, 2022
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28 cards in the deck,

 draw any card.

+ draw same number 3/27 (three left out of remaining deck)

+ draw same number 2/26 (two left out of remaining deck) 

=3/27+2/26 = 0.185 = 18.5%

 Dec 18, 2022

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