Consider two unopened bags of candy (one Skittles, the other M&M's). The manufacturers state that the distribution of coloured candies is:
M&M'S: 23% blue, 20% orange, 16% green, 13% yellow, 12% red, 16% brown.
SKITTLES: colours are distributed evenly, meaning each colour (red, orange, green, blue, yellow, and purple) has a probability of 1/6.
Assume that both of these unopened bags have the same number of candies. The bags are opened and the candies are mixed in a bowl. If one orange candy is randomly selected from this bowl, what is the probability it is a Skittle? (Hint: since both unopened bags have the same number of candies, the probability of choosing a(n) orange M&M from the mixed bowl is half of the probability of choosing a(n) orange M&M from the unopened bag of M&M's, and similarly for the probability of choosing a(n) orange Skittle from the mixed bowl.)
P(Skittle | orange) = [ ] (If rounding, use at least four digits after the decimal in your answer)