Consider a deck of cards that has 80 cards. Of these, 60 have a color and 20 are “wild.” The 60 cards with a color are either red, yellow, green, or blue, with 15 of each color. Two cards are said to “match” if any of the following are true: they have the same color, one is a color and the other is wild, or both are wild. (This is a simplified version of the card game UNO.) Two cards are drawn from the wellshuffled deck without replacement. Express your answers to (a)-(d) as simplified fractions or as percentages rounded to the nearest hundredth of a percent. (a) What is the chance that they match, using the definition above? _________ (b)Are the following two events mutually exclusive? A wild card in either of two draws and a match of two cards. (Circle one) YES or NO Explain in words. (c) Are the following two events independent? A wild card in either of two draws and a match of two cards. (Circle one) YES or NO Explain in words.
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Consider a deck of cards that has 80 cards. Of these, 60 have a color and 20 are “wild.” The 60 cards with a color are either red, yellow, green, or blue, with 15 of each color. Two cards are said to “match” if any of the following are true: they have the same color, one is a color and the other is wild, or both are wild. (This is a simplified version of the card game UNO.) Two cards are drawn from the wellshuffled deck without replacement. Express your answers to (a)-(d) as simplified fractions or as percentages rounded to the nearest hundredth of a percent.
(a) What is the chance that they match, using the definition above? _________
(b)Are the following two
(c) Are the following two events independent? A wild card in either of two draws and a match of two cards. (Circle one) YES or NO Explain in words.
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