Question

a probability experiment is conducted in which the sample space of the experiment is s = {9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}, event f = {9, 10, 11, 12, 13, 14}, and event g = {13, 14, 15, 16}. assume that each outcome is equally likely. list the outcomes in f or g. find p(f or g) by counting the number of outcomes in f or g. determine p(f or g) using the general addition rule.

list the outcomes in f or g. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. f or g = {9,10,11,12,13,14,15,16}
(use a comma to separate answers as needed.)
b. f or g = {}

find p(f or g) by counting the number of outcomes in f or g.
p(f or g) =
(type an integer or a decimal rounded to three decimal places as needed.)

Explanation:

Step1: Count outcomes in F or G

The set F or G = {9, 10, 11, 12, 13, 14, 15, 16}, so there are 8 outcomes in F or G.

Step2: Calculate probability

The sample - space S has 12 elements. The probability P(F or G) is the number of outcomes in F or G divided by the number of outcomes in S. So \(P(F\ or\ G)=\frac{8}{12}=\frac{2}{3}\approx0.667\).

Answer:

0.667