Question Help A probability experiment is conducted in which the sample space of

Question

Question Help A probability experiment is conducted in which the sample space of the experiment is S (5,6,7,8,9, 10, 11, 12, 13, 14, 15, 16, event F (7,8,9, 10, 11), and event 0-(1,12, 13, 14). Assume that each oulcome is equally kely List the culcomas in F or G. Find /F or G) by counting the number of oulcomes in For G. Deermine andi P(F or G) using the general addiion ule es List the oulcomes in F or Q. Select the correct choice below and, E necessary, lin the answer box to complete your choice A For -(7,88 10,11,12,13,54 OB. ForG Find P|F or G) by counting the number of oulcomes in F or G a comma to separate answers as needed) nch Type an integer or a decimal nounded to three decimail places as neaded.) Determine P(F or Q) using the general addition sule. Select the comect choice below and fill in any answer boxes within your choice for Suce Type the terms of your expression in te same onder as thny appear in the oniginal oxpression Round to three dacimal places as needed.) Pian Cick so select your answers Save for Laer 5/02/18 11:50pm Chapter 11 Qu of 11:50pm /23/18 Chapher 12 Quiz

Explanation / Answer

S = {5 , 6 , 7, 8, 9 ,10 ,11 ,12 ,13 ,14 ,15 ,16 }

F = { 7, 8 , 9, 10 , 11 }

G = { 11, 12 ,13 , 14 }

n = Total number of outcomes in " S" = 12

F or G means either outcome in F or G or In both F and G = { 7 ,8 , 9,10, 11,12 13,14 }

Final answer :-   Correct option "A"

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

P ( F or G ) = number of outcomes in F or G / n = 8 / 12 = 0.666666667

For final answer round above probability upto 3 decimal

Final answer :-

P ( F or G )   = 0.667

We find the P ( F or G ) By using addition rule

P ( F or G ) = P ( F ) + P ( G ) - P ( F and G )

P ( F ) = number of outcomes in F / n = 5/12 = 0.417      ( rounded up to 3 decimal place )

P ( G ) = number of outcomes in G / n = 4/12 = 0.333        ( rounded up to 3 decimal place )

P ( Fand G)

First find

(F and G ) write the outcomes which are common is F and G = { 11 }

P ( F and G ) = number of outcomes in F and G / n = 1/ 12   = 0.083    ( rounded up to 3 decimal place )

We get

P ( F ) = 0.417    P (G ) = 0.333       P ( F and G ) = 0.083

We have the formula

P ( F or G ) = P ( F ) + P ( G ) - P ( F and G )

We plug the values of

P ( F ) = 0.417    P (G ) = 0.333       P ( F and G ) = 0.083

In above formula .

P ( F or G ) = 0.417 + 0.333 - 0.083 = 0.667

Final answer :

For last part select the B option

P ( F or G ) = 0.417 + 0.333 - 0.083 = 0.667

Plug above value as it is

P ( F or G )= 0.417 + 0.333 - 0.083 = 0.667

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.