i need between 47-50

id and then divided into :h. A. card is drawn from out to be an ace. The ace nd half-deck. The half is is drawn from it. Com- his drawn card is an ace. :ther or not the inter- .T. bake a special kind of probabilities .tl2. .tl3. and e restaurant where they of these cakes. B 3d per- ifhat proportion of "failn rx. One is a two-headed . and the third is a biased : '15 percent of the time. s selected at random and hat is the probability that n? 'med by their jailer that hosen at random to be ivo are to be freed. Pris- :ll him privately which of re set free. claiming that n divulging this informa- nows that at least one of jailer refuses to answer it that if A knew which we to be set free. then :ing executed would rise rould then be one of two J think of the jailer's ins such that if the ith ll appear with probabil- When one of the coins ipped. it shows beads. robability that it was the automobile policyholder thability p... and a female :laim with probabilityr pf. 3.41 3.43. 3.49. 3.51}. inequality is true. An urn contains 5 white and 111 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What is the probability that all of the balls selected are white? What is the con- ditional probability that the die landed on 3 if all the balls selected are white? Each of 2 cabinets identical in appearance has 2 drawers. Cabinet A contains a silver coin in each drawer. and cabinet 3 contains a silver coin in one of its drawers and a gold coin in the other. A cabinet is randomly selected. one of its drawers is opened. and a silver coin is found. What is the probability that there is a silver coin in the other drawer? Prostate cancer is the most common type of can- cer found in males. As an indicator of whether a male has prostate cancer. doctors often perform a test that measures the level of the prostate- specific antigen {PEA} that is produced only by the prostate gland. Although PSA levels are indica- tive of cancer. the test is notoriously unreli~ able. Indeed. the probability that a noncancerous man will have an elevated PSA. level is approx- imately .135. increasing to approximately .268 if the man does have cancer. If. on the basis of other factors. a physician is Til percent certain that a male has prostate cancer. what is the conditional probability that he has the cancer given that [a] the test indicated an elevated PSA level? (11] the test did not indicate an elevated PSA level? Repeat the preceding calculation. this time assum- ing that the physician initially believes that there is a 311 percent chance that the man has prostate cancer. Suppose that an insurance company classies peo- ple into one of three classes: good risks. average risks. and bad risks. The companyls records indi- cate that the probabilities that good. average. and bad~risk persons will be involved in an accident over a 1-year span are. respectively. .115. .15. and .3tl. 1f 21] percent of the population is a good risk. it} percent an average risk. and 311 percent a bad risk. what proportion of people have accidents in a xed year? If policyholder A had no accidents in 199?. what is the probability that be or she is a good or average risk