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A box has three cards numbered 1, 2, and 3 A bag has three balls labeled A, B, and C Jina will randomly pick a card from the box and record the number chosen. Then she will randomly pick a ball from the bag and record the letter chosen. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the number chosen is 1. Use the format 1A to mean that the number chosen is 1 and the letter chosen is A. If there is more than one element in the set, separate them with commas. Sample space: {D} Event that the number chosen is 1 : {D} Here is a table showing all 52 cards in a standard deck. Face cards Color Suit| Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts A. 2' 39 4' 5. 6V 7' 8. 9' 10' J. Q. K. Red Diamonds A0 20 39 4O 50 6O 70 so 90 100 JO Q0 KO Black Spades A4 24 34 4o 50 64 70 so 94 10 14 90 K4 Black Clubs A010 2+ 3-1. 4.1. 5+ 6-1. 74. 8+ 9+ 104. M Qda K010 A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that all three of the cards are red? Do not round your intermediate computations. Round your final answer to four decimal places. (If necessary, consult a list of formulas.) [1 XS)? A sample of 247 adults is selected. The adults are classified according to voter registration status ("registered" or "not registered"). They are also classied according to preferred source of current events information ("television", "newspapers", "radio", or "internet sites"). The results are given in the contingency table below. Television Radio Internet sites Newspapers Registered Not registered 32 16 30 48 Among the adults in the sample who are not registered to vote, what is the relative frequency of those who prefer to obtain their information through radio? Round your answer to two decimal places. U xo'? On a particular day, a restaurant that is open for lunch and dinner had 194 customers. Each customer came in for one meal. An employee recorded at which meal each customer came in and whether the customer ordered dessert. The data are summarized in the table below. Suppose a customer from that day is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the customer did not order dessert? I] (b) What is the probability that the customer came for dinner or did not order dessert? I]