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I have 5 red plates and 4 blue plates.

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I have 5 red plates and 4 blue plates. If I randomly select two plates to serve dinner on, what is the probability that they're both the same color?. If I randomly select two plates to serve dinner on, what is the probability that they're both the same color?

Darkside  Sep 8, 2018
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$$P[\text{2 red plates}]=\dfrac 5 9 \dfrac 4 8 = \dfrac{5}{18}\\ P[\text{2 blue plates}] = \dfrac 4 9 \dfrac 3 8 = \dfrac{1}{6}\\ P[\text{plates are same color}]=\dfrac{5}{18}+\dfrac 1 6 = \dfrac 4 9$$

Rom  Sep 8, 2018