Suppose you draw two cards out of a standard deck without replacement. What is t

Question

Suppose you draw two cards out of a standard deck without replacement. What is the probability that you draw a jack and then a face card? (Give fraction) There are 15 different-colored crayons in a new box. What is the probability that the orange and then the green will be chosen at random, without replacement? (Give fraction) During pregnancy, women often undergo screening to assess whether their fetus is likely to have down syndrome. The following data show the results for the screening test for a population of 4810 women who were followed to birth to determine whether the fetus was, in fact, affected with Down Syndrome. Find the probability that the fetus did not have Down Syndrome and tested positive. Compute the sensitivity of the test. Find the probability that the fetus was, in fact, affected with Down Syndrome given that the fetus tested positive for Down Syndrome. (Give 3 decimal places)

Explanation / Answer

6) probability of first jack and then face card =(4/52)*(11/51)=11/663

7)probabilty that first orange and then green is chosen =(1/15)*(1/14)=1/210

8)a)probability =351/4810

b)sensitiivity =probabilty of test result +ve when down syndrome is there =9/10

c)probability =9/360

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