Return to question Exercise 4-57 Algo David Barnes and his fiancee Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that 2 out of a group of 13 people will be randomly picked for a free lesson of a Tahitian dance. a. What is the probability that both David and Valerie get picked for the Tahitian dance lesson? (Round your answer to 4 decimal places.) Answer is complete and correct. Probability 0.0128 b. What is the probability that Valerie gets picked before David for the Tahitian dance lesson? (Round your answer to 4 decimal places.) x Answer is complete but not entirely correct. Probability 0.5000 XProbability 0.3200 c. What is the probability that A and B occur? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Probability 0.2000 d. Given that B has occurred, what is the probability that A occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Probability e. Given that A has occurred, what is the probability that B occurs? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Probability 0.7353a B4: A 20 12 AC 50 18 a. Convert the contingency table into a joint probability table. {Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) 013200 0.6800 1.0000 b. What is the probability that A occurs? {Round intermediate calculations to at least 4 decimal places and nal answer to 4 decimal places.) c. What is the probability that A and 3 occur? (Round intermediate calculations to at least 4 decimal places and nai answer to 4 decimal places]