You are a restaurant manager. You must pick 12 entrees for your menu. There are

Question

You are a restaurant manager. You must pick 12 entrees for your menu. There are 13 meat offerings and 6 poultry offerings to choose from. Order doesn’t matter.

(a) In how many ways can 12 entrees be randomly selected out of the 19 meat and poultry offerings? Show work.

(b) In how many ways can 12 entrees be chosen, if 9 must be meat and 3 must be poultry? Show work.

(c) Using your answers to parts (a) and (b), if 12 entrees are randomly selected from the 19 offerings, what is the probability that 9 are meat and 3 are poultry? Round answer to nearest ten-thousandth (4 places after decimal).

Explanation / Answer

a)

19C12=50388

b)

13C9*6C3=14300

c)

favorable cases=13C9*6C3=14300

total cases=19C12=50388

(13C9*6C3)/(19C12)=0.2837

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