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jmc

counting and probability senior

Problem

Three cards are chosen at random from a standard 52-card deck. What is the probability that they are not all the same color?
Solution
We can find the probability they are all same color, then subtract that from 1. There are 26 cards of each color, so 3 of them can be selected in ways, and of course there are 2 colors. So the answer is
Final answer
\frac{13}{17}