Consider: two unopened bags of candy (one Skittles, the other
M&M's). The manufacturers state the distribution of coloured
candies is:
M&M's: 23% blue, 21% orange, 17% green, 13% yellow, 12%
red, 14% brown
Skittles: colours are reportedly 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. If they are opened and mixed, and one candy is randomly
selected, what is the probability it is a Skittle? [Hint: only
focus on the colour you need].
What is P(Skittle|orange)?
Please show work.