Two Basic Rules of Probability · Exercise 13

A local restaurant sells pork chops and chicken breasts. The given values below are the weights (in ounces) of pork chops and chicken breasts listed on the menu. Your server will randomly select one piece of meat (pork chop or chicken breast) that you will be served.
$$\begin{array}{ccccccccccc}\text{Pork Chops}& \text{17}& \text{20}& \text{21}& \text{18}& \text{20}& \text{20}& \text{20}& \text{18}& \text{19}& \text{19}\\ \text{20}& \text{19}& \text{21}& \text{20}& \text{18}& \text{20}& \text{20}& \text{19}& \text{18}& \text{19}& \\ \text{Chicken Breasts}& \text{17}& \text{19}& \text{17}& \text{21}& \text{17}& \text{21}& \text{18}& \text{21}& \text{19}& \text{21}\\ \text{20}& \text{17}& \text{20}& \text{18}& \text{19}& \text{20}& \text{20}& \text{17}& \text{21}& \text{20}& \end{array}$$

(a) List the sample space of the possible items that are on the menu.
(b) Find P(you will get a 17-oz. piece of meat).
(c) Find P(you will get a pork chop).
(d) Find P(you will get a 17-oz. pork chop).
(e) Is getting a pork chop the complement of getting a chicken breast? Why?
(f) Find two mutually exclusive events.
(g) Are the events getting 17 oz. of meat and getting a pork chop independent?

OpenStax, Statistics · §3.3 Two Basic Rules of Probability · Exercise 13