1. each digit from the number 7,616,886 is written on a different card. if one of these cards is selected at random, what is the probability of drawing card that shows 7 or 8?

Use Bayes' rule to find the indicated probability. A survey conducted in one US. city together with information from the census bureau yielded the following table. The first two columns give a percentage distribution of adults in the city by ethnic group. The third column gives the percentage of people in each ethnic group who have health insurance. Ethnic Group Percentage of Percentage with adults health insurance Caucasian frican American Hispanic Other 197.1 56 An adult is selected at random from the city. Determine the probability that the adult obtained is Asian given that he or she has health insurance. Select one: O 0.128 O 0.62 O 0.001 O 0.079 The age distribution of students at a community college is given below. Age {wears} Number of students {1 undo} 21 4 in 21-25 ws 26-30 215 31-35 54 Over 35 21) I 1107 A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive. Round to the nearest thousandth. Select one: O 0.243 O 0.269 O 0.194 O 0.049 The table shows, for some particular year, a listing of several income levels and, for each level, the proportion of the population in the level and the probability that a person in that level bought a new car during the year. Proportion Probability that Income level of population bought a new car $0 - 4,999 5.2% 0.02 $5,000- 9,999 6.4% 0.03 $10,000-14,999 5.4% 0.06 $15,000- 19,999 8.7% 0.07 $20,000-24,999 9.4% 0.09 $25,000-29,999 10.2% 0.10 $30,000-34,999 13.8% 0.11 $35,000-39,999 10.7% 0.13 $40,000-49,999 15.5% 0.15 $50,000 and over 14.7% 0.19 Given that one of the people who bought a new car during that year is randomly selected, find the probability that that person was in the $10,000 - $14,999 income category. Round your answer to the nearest hundredth. Select one: O 0.05 O 0.06 O 0.03 O 0.02A small town has only two dry cleaners, Fast and Speedy. Fast hopes to increase its market share by conducting an extensive advertising campaign. The initial market share for Fast was 40% and 60% for Speedy. Find the probability that a customer using Fast initially will use Fast for his third batch of clothes. Use the following transition matrix. Round your answer to the nearest hundredth. Fast Speedy RM [1129 (Jill Speedy \".39 (1.6] Select one: 0 0.64 O 0.65 O 0.36 O 0.35