The probabilities and gain or loss for guessing on a standardized test is shown in the table to the right. Suppose that you eliminate two of the possible six answers. Modify the two probabilities shown by finding the probabilities of guessing correctly and guessing incorrectly under these circumstances. Outcome Guess correctly Gain or Loss Probability 1 What is the expected point value of a random guess? Is it advantageous to guess under these circumstances? Choose the correct answer below, and fill in the answer box to complete your choice. (Type an integer or a decimal rounded to two decimal places as needed.) OA. The expected point value is OB. The expected point value is so it is advantageous to guess. so it is not advantageous to guess. 6 1 5 Guess incorrectly 2 6

Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the probability that 3 patients of this group, chosen at random, will remain disease-free.

Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible hours----even when it meant slower career advancement----so they could spend more time with their families. The figure shows the results of the survey. What is the probability that three people chosen at random would prefer flexible work hours?

You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 300 different songs (your favorite song is among them). Assuming that the singers are equally likely to pick any song and no song repeats, what is the probability that your favorite song is one of the 20 that you hear that night?