The local outlet of Frankfurter Franchise sells three types of hot dogs: plain, with chili, and veggie. The owners know that 47% of their sales are chili dogs, 36% are plain, and the rest are veggie. They also offer three types of buns: plain, rye, and multigrain. Sixty-two percent of their sales are plain buns, 27% are multigrain, and the rest are rye. Assume that the choice of bun is independent of the choice of type of hot dog.

a. Make a tree diagram showing this information.
b. What is the probability that the next customer will order a chili dog on rye?
c. What is the probability that the next customer will not order a veggie dog on a plain bun?
d. What is the probability that the next customer will order either a plain hot dog on a plain bun or a chili dog on a multigrain bun?

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