probability and counting

1. A home pregnancy test was given to women, then pregnancy was verified through blood tests. The following table shows the home pregnancy test results. Positive Negative Total Pregnant 58 65 Not Pregnant 5 61 66 Total 63 68 131 Round your answers to the nearest thousandth. P (positive | pregnant) = P (pregnant | positive) = P (negative | pregnant) = P (not pregnant | negative) = 2. A coin is tossed twice. Let E be the event "the first toss shows heads" and F the event "the second toss shows heads". (a) Are the events E and F independent? Input Yes or No: (b) Find the probability of showing heads on both tosses. Write your answer as a reduced fraction. Answer: = 3. Compute the probability of drawing two clubs from a standard deck of 52 cards. Round your answer to four decimal places. Answer: Compute the probability of drawing two face cards from a standard deck of 52 cards. Round your answer to four decimal places. Answer. Compute the probability of drawing two aces from a standard deck of 52 cards. Round your answer to four decimal places. Answer: 4. Christy buys a bag of cookies that contains 9 chocolate chip cookies, 9 peanut butter cookies, 6 sugar cookies and 9 oatmeal cookies. What is the probability that Christy reaches in the bag and randomly selects a sugar cookie from the bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie? Write your answer as a percent. Round to the nearest tenth of a percent. 5. If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a heart or 6? (Your answer must be in the form of a reduced fraction.) P (heart or 6) =