A bowl contains 100 identical-looking, foilwrapped, chocolate egg-shaped candies of four kinds. The candies are either milk or dark chocolate with either a nut or a raisin filling. All but 40 of them are milk chocolate, all but 56 are nut, and all but 29 are nut-filled or milk chocolate.
a. How many of each kind of chocolate are in the bowl?
b. If one chocolate is selected at random, what is the probability that it is milk chocolate?
c. If one chocolate is selected at random, what is the probability that it is dark or raisin?
d. If one chocolate is selected at random, what is the probability that it is dark and raisin?
e. If one chocolate is selected at random, what is the probability that it is neither dark nor raisin?
f. If one chocolate is selected at random, what is the probability that it is not dark but is nut?
g. If one chocolate is selected at random, what is the probability that it is milk or nut?