+0

# I have 5 red plates and 4 blue plates.

0
114
1
+295

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?

Sep 8, 2018

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