7. At a hospital\'s emergency room, patients are classified and 20% of them are

Question

7. At a hospital's emergency room, patients are classified and 20% of them are critical, 30% are serious and 50% are stable. Of the critical ones, 30% die, of the serious, 10% die; and of the stable, 1% die. Given that a patient dies, what is the conditional probability that the patient was classified as serious? U0 die 8. The World Series in baseball continues until either the American League team or the National League team wins four games. How many different orders are possible if the series goes five games? 9. A die is rolled five times. What is the number of possible ordered samples? 10. Suppose you are going to throw three fair dice. What is the probability of getting a five on each die?

Explanation / Answer

7) P(patient dies)=P(critical and dies+serious and die+stable and dies)=0.2*0.3+0.3*0.1+0.5*0.01 =0.095

therefore patient was serious given dies =P(serious and dies)/P(dies) =0.3*0.1/0.095=0.3158

8)

number of possiblities with American league as winner =4!/(3!*1!) =4

and number of ways National league as winner =4!/(3!*1!) =4

therefore total numebr of ways =8

9) possible ordered samples =65 =7776

10) probability =favourable outcome total outcome =1/63 =1/216

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