A probability experiment is conducted in which the sample space o the experiment

Question

A probability experiment is conducted in which the sample space o the experiment is S= 3 4 5 6 7 8, 9, 10, 11. 12. 13, 14 event F 8. 9. 10, 11 and equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Detemine P(F or G) using the general addition rule. ent G 12 Assume that each outcome s 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. ForG (Use a comma to saparate answers as neaded.) O B. For 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.) Determine P(F or G) using the general addition rule. Select the correct choice below and fill in any answer boxes within your choice. Type the tes of your expression in the same order as they appear in the original expression. Round to three decimal places as needed.) @a. P(F or G,-D-D-D- OB. P(F or G)

Explanation / Answer

Here, F ={7,8,9,10,11} and G={11,12,13,14} and Sample space S={3,4,5,6,7,8,9,10,11,12,13,14}.

Number of outcomes in F is 5, Number of outcomes in G is 4 and Number of outcomes in S in 12.

F or G ={7,8,9,10,11,12,13,14}

Number of outcomes in F or G is 8. Hence, P(F or G)=8/12 =0.667.

Using the general addition rule, P(F or G)=P(F)+P(G)-P(F and G) [Here F and G ={11}

=(5/12 )+(4/12)-(1/12)

=8/12 =0.667

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