Question

A probability experiment is conducted in which the sample space of the experiment is Upper S equals StartSet 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 comma 11 comma 12 EndSetS={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}​, event Upper F equals StartSet 4 comma 5 comma 6 comma 8 EndSet commaF={4, 5, 6, 8}, and event Upper G equals StartSet 9 comma 10 comma 11 comma 12 EndSet .G={9, 10, 11, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find Upper P (Upper F or Upper G )P(F or G) by counting the number of outcomes in F or G. Determine Upper P (Upper F or Upper G )P(F or G) using the general addition rule. List the outcomes in F or G. Choose the correct answer below. A. F or Gequals=​{4 comma 5 comma 6 comma 8 comma 9 comma 10 comma 11 comma 124, 5, 6, 8, 9, 10, 11, 12​} B. F or Gequals=​{4 comma 5 comma 6 comma 84, 5, 6, 8​} C. F or Gequals=​{1, ​2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, 11,​ 12} D. F or Gequals=​{9 comma 10 comma 11 comma 129, 10, 11, 12​}

Answer 1

Explanation:

According to the mentioned information, the sample space of the experiment is as follows: S= {7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18} The outcomes of the event E are as follows: E = {7, 8, 9, 10, 11, 12} Therefore, the outcomes of Ec can be calculated as:

`E^(c)` = {xlx ∈ S , x ∉ E}

Ec = {13, 14, 15, 16, 17, 18}

The outcomes of
`E^(c)` are {13, 14, 15, 16, 17, 18} .

The obtained outcomes of the set Ec are {13, 14, 15, 16, 17, 18} . These are calculated by subtracting the outcomes of the event E from the elements of sample space S.

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