A " Daily Number " lottery has a three-digit number  from 000 to 999. You buy one ticket each day. Your number is 389. 1.       a) What is the probability of winning next Tuesday and Wednesday?        b) You won on Tuesday. What is the probability of winning on Wednesday?        c) You did not win on Tuesday. What is the probability of winning on Wednesday?

A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a red ace. The probability is (Simplify your answer. Type an integer or a fraction.)

5359 pregnant women were tested to see if their babies had Down Syndrome (D). The results of the test are given in the table. Use the values in the table to answer parts a-c.   a. Given that a test result is negative​ (NEG), what is the probability that the fetus actually has Down​ syndrome?   P(D|NEG)=   b.  Given that the fetus has Down​ syndrome, what is the probability that the test result is​ negative?   P(NEG|D)=   c. Is P(D|NEG) equalt to P(NEG|D)?   A. Yes, because​ P(NEG|D) deals with a much larger pool of fetuses than​ P(D|NEG).   B. No, because​ P(NEG|D) deals with a much smaller pool of fetuses than​ P(D|NEG).   C. No, because​ P(NEG|D) deals with a much larger pool of fetuses than​ P(D|NEG).   D. ​Yes, because​ P(NEG|D) deals with a much smaller pool of fetuses than​ P(D|NEG)

Topic: Choosing ping-pong balls without replacement.There are 5 white and 2 orange ping-pong balls in a brown paper bag. Two balls are randomly chosen.Enter your answers as fractions. They do not need to be reduced.(The "Preview" simply displays your answer in nice mathematical text.It does not mean that your answer is either right or wrong.)a) How many total balls are in the bag at the start?   b) What is the probability that the 1st ball is orange?P(1st = orange) =   c) What is the probability that the 2nd ball is also orange, given that the 1st ball was orange?P(2nd = orange | 1st = orange) =   d) What is the probability that both the 1st and the 2nd balls are orange?