Education among young adults. Choose a young adult (aged 25 to 29) at random. Th

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Education among young adults. Choose a young adult (aged 25 to 29) at random. The probability is 0.10 that the person chosen did not complete high school, 0.27 that the person has a high school diploma but no further education, and 0.34 that the person has at least a bachelor's degree. a) What must be the probability that a randomly chosen young adult has some education beyond high school but does not have a bachelor's degree? b) What is the probability that a randomly chosen young adult has at least a high school education? Land in Canada. Canada's national statistics agency, Statistics Canada, says that the land area of Canada is 9, 094,000 square kilometers. Of this land, 4, 176,000 square kilometers are forested. Choose a square kilometer of land in Canada at random. (a) What is the probability that the area you chose is forested? (b) What is the probability that it is not forested? Foreign-language study. Choose a student in a U.S. public high school at random and ask if he or she is studying a language other than English. Here is the distribution of results: (a) Explain why this is a legitimate probability model. (b) What is the probability that a randomly chosen student is studying a language other than English? (c) What is the probability that a randomly chosen student is studying French, German, or Spanish? Car colors. Choose a new car or light truck at random and note its color. Here are the probabilities of the most popular colors for vehicles sold globally in 2013: (a) What is the probability that the vehicle you chose has any color other than those listed? (b) What is the probability that a randomly chosen vehicle is neither white nor silver? Drawing cards. You are about to draw a card at random (that is, all choices have the same probability) from a set of seven cards. Although you can't see the cards, here they are: (a) What is the probability that you draw a 9? (b) What is the probability that you draw a red 9? (c) What is the probability that you do not draw a 7? Loaded dice. There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 (which is opposite 6) comes up too seldom, add a bit of lead to the filling of the spot on the 1 face. If a die is loaded so that 6 comes up with probability 0.2 and the probabilities of the 2, 3, 4 and 5 faces are not affected, what is the assignment of probabilities to the six faces? A door prize. A party host gives a door prize to one guest chosen at random. There are 48 men and 42 women at the party. What is the probability that the prize goes to a woman? Explain how you arrived at your answer. Race and ethnicity. The U.S. Census Bureau allows each person to choose from a long list of races. That is, in the eyes of the U.S. Census Bureau, you belong to whatever race you say you belong to. "Hispanic/Latino" is a separate category: Hispanics may be of any race. If we choose a resident of the United States at random, the U.S. Census Bureau gives these probabilities: (a) Verify that this is a legitimate assignment of probabilities. (b) What is the probability that a randomly chosen American is Hispanic? (c) Non-Hispanic whites are the historical majority in the United States. What is the probability that a randomly chosen American is not a member of this group?

Explanation / Answer

a) Now out of the 7 cards we see that there are 3 nines. So probability of drawing a nine= 3/7

b)Now out of the 7 cards we see that there are 2 red nines.So probability of drawing a red nine= 2/7

c)Out of the 7 cards we see that there are 2 sevens.So probability of drawing a seven=2/7

So probability of not drawing a seven=1-(2/7)=5/7

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