Color Paradox | Candy

Using basic probability theory, we can calculate the probability of getting exactly 2 of each color in a sample of 10 Skittles. Assuming each Skittle has an equal chance of being any of the 5 colors, the probability of getting a specific color (say, red) is 0.2.

\[P( ext{2 of each color}) = (0.301)^5 pprox 0.00024\] Candy Color Paradox

The probability of getting exactly 2 red Skittles in a sample of 10 is given by the binomial probability formula: Using basic probability theory, we can calculate the

This means that the probability of getting exactly 2 red Skittles in a sample of 10 is approximately 30.1%. \[P(X = 2) = inom{10}{2} imes (0

\[P(X = 2) = inom{10}{2} imes (0.2)^2 imes (0.8)^8\]

This is incredibly low! In fact, the probability of getting exactly 2 of each color in a sample of 10 Skittles is less than 0.024%.