You have made it to the final round of a game show. the announcer asks you the final multiple choicequestion, which has four possible answers, (a), (b), (c), and (d). if you answer the question correctly, you win $1,000,000. after considering the question, you realize you are not sure, but you have yoursuspicions. you think the answer is either choice (a) with probability 60%, or choice (b) with probability40%. you are certain the answer is not choice (c) or (d).

a. choose not to answer the question. you walk away with $500,000.b. select an answer (a or b). if you are correct, you win $1,000,000. if you are incorrect, you win only$32,000.c. phone a friend. in this option, the announcer allows you to call a friend for .after listening to your friend’s response, you must then answer the question. you know that: * given thecorrect answer is (a), your friend will say "a" with probability 80%. * given the correct answer is (b), yourfriend will say "b" with probability 80%.d. make a decision tree to find your best strategy. in words, what should your strategy be? how muchmoney do you expect to win?

The best option is to phone a friend which will yield a total earnings of $ 806,400

Step-by-step explanation:

From the analysis of the question, there is the probability of success and failure.

if he choose not to answer which is the probability of success, his earnings = $500,000.

if he he answers the question correctly, his earnings = $1,000,000 which in the end, is still a success for him

if he answers the question wrongly, his earnings = $32,000

the last option is to phone a friend and he will either choose option a or option b

Probability of choosing option A = 0.6

Probability of choosing option B = 0.4

expected earnings = P(choosing A) x his earnings if correct +  P(choosing B) x his earnings if wrong

= 0.6 x 1,000,000 + 0.4 x 32,000

= $612,000 will be his earning by second option

if he picks the option b = P (choosing B) x his earnings if correct + P(choosing A) x earnings if wrong = 0.4 x 1,000,000 + 0.6 x 32,000

= $419,000

from the P(success) + P( failure) =1

His earnings = Probability of success x earnings if correct + Probability of failure x earnings if incorrect = 0.8 x 1,000,000 + 0.2 x 32,000

= $806,400

from the calculation done, it is apparent that his best option is to go by phoning a friend since that will yield more earnings for him which is greater than his earnings by going for the second options hence the best option is phoning a friend as this will accrue his expected earning to be $ 806,400

2

step-by-step explanation:

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.